Simplify: (ab + bc) (ab - bc)​

Answers

Answer 1

[tex] \: \: \: \: [/tex]

[tex] = {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2} [/tex]

Step-by-step explanation:

[tex](ab + bc)(ab - bc)[/tex]

use ( a + b ) ( a + b ) = - to simply the product

[tex](ab {)}^{2} - (bc {)}^{2} [/tex]

to raise a product to a power ,raise each factor to that power

[tex] = {a}^{2} {b}^{2} - {b}^{2} {c}^{2} [/tex]

hope it helps

Related Questions

HELP PLEASE
To divide the function f(x) by (x2-4x-12), we find that the quotient is Q(x) and the
remainder is (x+6). If f(-2)=a and f(6)=b, what is the value of b/a?

Answers

Answer:

b/a = 3

Step-by-step explanation:

f(x) / (x²-4x-12) = Q(x) + (x+6)/(x²-4x-12)

f(x) = Q(x)*(x²-4x-12) + (x+6)

x= - 2   ... when f(x) is f(-2)        x²-4x-12 = 4+8-12 = 0

a = f(-2) = Q(x)*0 + (-2 + 6) = 4

x= 6   ... when f(x) is f(6)        x²-4x-12 = 36-24-12 = 0

b = f(6) = Q(x)*0 + (6 + 6) = 12

b/a = 12/4 = 3

What is the solution to 12x=4x2+9? x=23

Answers

Answer:

x = 17/12

Step-by-step explanation:

12x = 4 x 2 +9

12x = 8 +9

12x = 17

x = 17/12 After divided

What is the inverse of y=5x-5

Answers

Answer:the answer is in the picture below

Step-by-step explanation:plz give brainlist

NEED NOW PLEASE.....

Answers

Answer:

2+(-6)

Step-by-step explanation:

hope this helps

Select the correct answer.

What is the symbolic representation for this argument?

If a polygon has exactly three sides, then it is a triangle

Jeri drew a polygon with exactly three sides.

Therefore, Jeri drew a triangle.


Answers

Answer:

jeri drew a plgon with exatly three sides

Answer:

could you add the choices please

Step-by-step explanation:

it doesnt help without the choices

HELP PLEASEE
What is the range of the graph below?

Answers

Answer:

d

Step-by-step explanation:

range is how far the graph goes from bottom to top.

The answer is d hope it helps.

12 tenths+ 9 tenths = tenths = ones = tenths

Answers

Explain: it’s equals to 20

Find the length of the hypotenuse.Round to the nearest 10th if necessary.(40pts)

Answers

Answer:

5 is our hypotenuse

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

c is our hypotenuse

[tex]3^{2} + 4^{2} = c^2[/tex]

[tex]9 + 16 = 25[/tex]

[tex]25 = c^{2}[/tex]

c = 5

5 is our hypotenuse

Answer:

x = 5

Step-by-step explanation:

[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]

How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the number of years to the
nearest hundredth
see score

Answers

Answer:

 5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

  A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

  7400 = 5500e^(0.05t)

  ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

  t = 20×ln(74/55) ≈ 5.93

It will take about 5.93 years for $5500 to grow to $7400.

Select the correct answer.
Which phrase best describes the relationship indicated by the scatter plot?
a. constant Correlation
b. negative Correlation
c. Positive correlation
d. no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

they arent in a line

The phrase that best describes the relationship indicated by the scatter plot is D. No correlation

What is a Scatter Plot?

This refers to the use of dots to represent values for two different numeric variables.

Hence, we can see that the best description that can be used to show the relationship in the scatter plot is option D which is no correlation because they are not in a line.

Read more about scatter plots here:

https://brainly.com/question/6592115

#SPJ2

can someone pleasw helppppppp meee

Answers

It would be 2,5, and 6. The mode means the number that is repeating the most. Since 2, 5, and 6 all appear 3 times, that is the mode

Answer:

D. Modes are 2, 5, and 6

Step-by-step explanation:

The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency..

ements
Question 8
1 pts
(08.02 MC)
Rewrite x2 - 2x - 3-0 in the form (x -a)? - b, where a and b are integers, to determine the a and b
values.
Oa-4 and b3
O a-3 and b 2
Oa-2 and b 1
Oa - 1 and b 4
Question 9
1 pts

Answers

Step-by-step explanation:

Given,

x² - 2x - 3 = 0

x² - (3x - x) - 3 = 0

x² - 3x + x - 3 = 0

x(x - 3) + 1(x - 3) = 0

(x - 3)(x + 1) = 0

x = 3 & -1

Now,

a and b are integers

So

a = 3 & b = -1 or

a = -1 & b = 3

Answer:

a = 3 , b = -1          or            a = -1 , b = 3

Step-by-step explanation:

x² - 2x - 3 = 0

x² - 3x + 1x - 3 = 0

x ( x - 3 ) +1 ( x - 3 ) = 0

( x - 3 ) ( x + 1 ) = 0

So,

x - 3 = 0                   or                x + 1 = 0

x = 0 + 3                                      x = 0 - 1

x = 3                                            x = -1

Therefore,

( x - a) ( x - b )

As a and b are integers

It can be,

a = 3 , b = -1          or            a = -1 , b = 3

Hope this helps you.

Let me know if you have any other questions :-)

Hanna has 16 pencils. She gets 3 new
pencils from Mrs. Lewis. She divides
the pencils equally between her 2
sisters. How many pencils does each
sister get?

Answers

Answer:

9.5

Step-by-step explanation:

If Hanna starts off with 16, and Mrs. Lewis GIVES(add) her 3 more, then she has 19 because 16+3=19. Then we divide by 2 because there are 2 sisters. so 19/2 = 9.5

Hello! I hope this helped you. If this is wrong please let me know. Thank you.

(2a+15ab)-(7a+6b-10ab)

Answers

Answer:

Step-by-step explanation:

-5a - 6b + 25ab

add like terms

Write as a product 4x^4+8x^3-2x^2

Answers

Answer:

764x

Step-by-step explanation:

4^4=256

8^3=512

2^2=4

256-4+512=764

764x

Answer:

2x^2(2x^2+4x-1)

Step-by-step explanation:

The GCF is 2x^2 so pull apart each number and you will get your answer.

What is Power rule, Product rule, Quotient rule and Chain rule? Detail please

Answers

Power Rule|
When raising an exponential expression to a new power multiply the exponents.

For and Example|
Simplify: 7a^4 b^6)2

Solution: Each factor within the parentheses should be raised to the 2nd power.
7a^4 b^6)2 = 7^2(a4)2(b^6)2

You then simplify using the power Rule of Exponents.

7a^4 b^6)2 = 7^2(a4)2(b^6)2 = 49a^8 b^12

The power rule states that this derivative is n times the function raised to the (n-1) the power times the derivative of the function.


Product Rule|
When multiplying exponential expressions that have the same base, add the exponents.

Example:
Multiply: 4x^3 • -6x^2

Solution:
Multiply coefficients: 4 • -6 = -24

Use the product rule to multiply variables.
X^3 • x^2 = x^3 + 2 = x^5
4x^3 • -6x^2 = -24x^5

The power of product rule is a method for simplifying exponents and it states that a term raised to a power is equal to the product of its factors raised to the same power.
The product of two or more numbers is the result of multiplying these numbers.


Quotient Rule|
When dividing exponential expressions that have the same base, subtract the exponents.

Example:
Simplify: 8x^6/2x^3 = 4x^3

Solution:
Divide coefficients:
8 /2 = 4

Use the Quotient rule to divide variables:
X^6/x^3 = x6 - 3 = x^3
8x^6/ 2x^3 = 4x^3

The Quotient of two numbers is the result of the division of the numbers.

Chain Rule|
The general power rule is a special case of the chain rule. It is useful when finding the derivative of a function that is raised to the nth power.

((Hey I’m really tired so I hope this is good and helps you good luck!!))

Good Night fools!!!

how important is the 3 candle of advent?​

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

The third candle which is pink or rose, represents Gaudette Sunday and the joy that the birth of Christ brought to the world. Traditionally, on Gaudette Sunday one takes a break from Advent fasting to experience the joy of the day.

Find all perfect squares between 100 and 300.

Answers

Answer: The answer in the first image.

Explanation: The explanation is in the second image.

How can multistep linear equations be written to represent different
scenarios?

Answers

Answer:

Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit

f(x)=x+1/x-2
find the inverse

Answers

X=1/2
Could be your answer

Pls pls pls pls pls pls pls pls ahh

Answers

Answer:

DO YOURE WORK!

Step-by-step explanation:

Please.

Select Is a Function or Is not a Function to correctly classify each relation.

Answers

Answer:

Is a functionIsn't a functionIs a functionIsn't a function

Step-by-step explanation:

Firs we need to understand what is a function-

from a set [tex]X[/tex] to a set [tex]Y[/tex] is an assignment of an element of [tex]Y[/tex] to each element of [tex]X[/tex].

This mean's that an element in [tex]X[/tex] can't have multiples values in [tex]Y[/tex], then if you find a coordinate with two different values, isn't a function.

Take for example the second data set:

[tex]\{(2, 3), (2, 5), (3,6), (9,4)\}[/tex]

All is good except for the first two coordinates because [tex]x[/tex] is define with two different values, then you can determinate that isn't a function.

Maybe you're confuses because exist some graphs that repeat values in [tex]x[/tex] as the graph of a circle, but this in reality isn't a function, is a relation. A relation can repeat values in the set [tex]X[/tex] infinity times but never is going to be a function.

Help help help help help please please

Answers

Answer:

Angle 8

Step-by-step explanation:

Refer to the attached picture

Please help me ASAPPPPP

Answers

Answer:

20 0-6

Step-by-step explanation:

x= (2,0)

y= (0,-6)

Pls help I’ll brainlest ASAP

Answers

Answer:

Slope: -1/4x

y-int: 2

Step-by-step explanation:

Mr. White has 2 suits, 5 dress shirts, and
6 ties. How many different clothing combinations can he make?

Answers

Answer:

60

Step-by-step explanation:

Use the counting principle.

2 × 5 × 6 = 60

Answer: 60


2,6,18,...
Find the 8th term.
Find the 8th term.

Answers

Answer:

4378

Step-by-step explanation:

Its clearly given that each term is multiplied by 3

I.e- 2×3 = 6

6×3= 18

and so on....

so here the G.P series is a=2 and r=3

To find the 8th term ar^8-1

ar^7 = 2×3^7

= 2×2187

= 4378

Plz help me NOW I will mark you brainliest

Answers

Let x be the percentage of p.Therefore, [tex]m\% \: \: of \: \: n = x\% \: \: of \: \: p \\ = > \frac{mn}{100} = \frac{px}{100} \\ = > mn = \frac{px}{100} \times 100 \\ = > mn = px \\ = > \frac{mn}{p} = x[/tex]

Answer:

[tex] \frac{mn}{p} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18

Answers

Answer:

Step-by-step explanation:

2x - 8y = - 18

    - 8y = - 2x - 18

         y = ¼x + 2¼

y intercept occurs when x = 0, so b = 2¼  (0, 2¼)

x intercept occurs when y = 0

0 = ¼x + 2¼

¼x = - 2¼

  x = -9     (-9, 0)  

What is the next term of the AP √2, √8 , √18 ......?​

Answers

Given terms in an AP are √2,√8,√18

√8 = √(2×2×2) = 2√2

√18 = √(2×3×3) = 3√2

The AP : √2,2√2,3√2

next term = 4√2> √(4×4×2)

⇛ √32

The next term of the AP = √32.

also read similar questions: The next term of the AP root 8, root 18,root 32 is...........

https://brainly.com/question/17287744?referrer

Which term of the AP:3, 8, 13, 18,...,is 78?

https://brainly.com/question/15380012?referrer

Other Questions
i need help plzzzz!!!!! people intering the contest can win a new car =( prize) write a letter to your friend describing how you were helped by a stranger when you were in need How are protons and neutrons conserved as a star ages? The diameters of ball bearings are distributed normally. The mean diameter is 7373 millimeters and the variance is 44. Find the probability that the diameter of a selected bearing is less than 7676 millimeters. Round your answer to four decimal places. HURRY PLEASEEEEE!!!!!!Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form. Tnh gi tr ca I = [tex]\lim_{x \to \infty}[/tex] ([tex]\frac{4^{n} - 5.3^{n} + 1}{2.4^{n} + 2}[/tex]) Use a, an , the or nothing 1. We have ........ good relation between USA and Nepal. Question 7 of 10Kyra had two jobs last year and received two W-2 forms. On the first W-2form, the figure in box 1 was $15,667.88. On the second W-2 form, the figurein box 1 was $9766.24. What was Kyra's gross income from the two jobs lastyear?A. $25,434 12B. $12,717.06C. $5901.64D. $6358.53SUBMIT There is given an ideal capacitor with two plates at a distance of 3 mm. The capacitor is connected to a voltage source with 12 V until it is loaded completely. Then the capacitor is disconnected from the voltage source. After this the two plates of the capacitor are driven apart until their distance is 5 mm. Now a positive test charge of 1 nC is brought from the positively charged plate to the negatively charges plate. How large is the kinetic energy of the test charge? The test charge of 1 nC can be regarded to be so small that it does not influence the electric field between the two plates of the capacitor. With one alarm clock, we have a 0.875 probability of being awakened. What is the probability of being awakened if we are using two alarm clocks?( Lee la lectura y escoge la respuesta correcta. Read the excerpt and choose the best response.Hay un intercambio constante entre las Amricas y Europa. Por ejemplo, cuando el Romanticismo lleg a Amrica Latina, se transform en una versin claramente latina. Este movimiento mantuvo ciertos elementos de la literatura romntica, pero luego fue an ms lejos. Esto es cuando el nacionalismo de la era Romntica se convirti en el retorno a las races indgenas, y as naci el indigenismo. Aves sin nido por Turner y Hombre de Maz por Asturias sirven de ejemplo y fueron unos catalizadores de las obras que siguieron. El resultado de la influencia europea alent una nueva identidad para los escritores latinos.Qu piensa el autor de este artculo? (1 point)El autor piensa que los movimientos de indigenismo y nacionalismo son casi iguales porque hubo una gran influencia de Europa.El autor piensa que la conexin entre los dos continentes resulta en una fusin original de ideas y estilos de literatura.El autor piensa que si no tuviera la conexin entre los dos pases, no habra literatura importante ni original en Latinoamrica.El autor piensa que la literatura latinoamericana tiene un estilo completamente diferente del estilo en Europa y comparte pocos elementos. In an analysis of interhalogen reactivity, 0.350 mol ICl was placed in a 5.00 L flask and allowed to decompose at a high temperature.2 ICl(g) I2(g) + Cl2(g)Calculate the equilibrium concentrations of I2, Cl2, and ICl. (Kc = 0.110 at this temperature.)I2 MCl2 MICl M Find information online or through your school or community about resources that are available to you, and use the information to answer the following questions. Identify at least two resources for the testing and treatment of STDs in your own community. In sharp contrast to World War I, during World War II, the United States was a ready to use conscription if necessary to raise an army. b forced to sacrifice civilian economic well-being for the military effort. c weakened by constant isolationist criticism of the war effort. d nearly unanimous in support of the war. e actually invaded by enemy forces. What is the solution to this inequality?-16x>-80A. x < 5O B. x>-5O c. x5 Why is it difficult to bond three phosphate groups to Adenosine?They have the same charge and repel each other.They form a strong attraction to each other.They are like opposite poles of a magnet.The energy is evenly dispersed across all three bonds. Write a program get_price.py with a function get_price() that takes a dictionary of fruits as an argument and returns the name of the most expensive fruit. Each item of the dictionary includes: A key: the name of the fruit A value: the price of the fruit. Oriole Company sold goods with a total selling price of $809,600 during the year. It purchased goods for $393,200 and had beginning inventory of $68,400. A count of its ending inventory determined that goods on hand was $51,200. What was its cost of goods sold Two of the sentences below are correct. Please choose the one that is not correct due tosubject-verb disagreement. Tip: Read each sentence carefully and aloud before makingyour choice. Notice that the subject here is Jessica."Jessica is the only one of my friends who has attended college with me.Jessica is the only one of my friends who have attended college with me.Jessica is the only one of my friends who is attending college with me.