factor 4a^2-b^2-2a+b

Answers

Answer 1

Answer:Equation at the end of step 1

 

STEP

2

:

           4a2 - b2

Simplify   ————————

            2a - b  

Trying to factor as a Difference of Squares:

2.1      Factoring:  4a2 - b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  4  is the square of  2  

Check :  a2  is the square of  a1  

Check :  b2  is the square of  b1  

Factorization is :       (2a + b)  •  (2a - b)  

Canceling Out :

2.2    Cancel out  (2a - b)  which appears on both sides of the fraction line.

Final result :

 2a + b

Step-by-step explanation:


Related Questions

The angular speed for a Wind turbine with blades turning at a rate of 19 revolutions per minute is

Answers

Answer

The answer to the question is 3.157 revolutions per second.

Step-by-step explanation:

The reason is because speed is the distance the object travels in a second.

So, we know that the wind turbine is moving 19 revolutions per minute, so therefore to find the number of rotations the wind turbine is doing per second we have to do 60/19 because there is 60 seconds in a minute.

Therefore, if we do that equation we get the answer, as 3.157 revolutions per second!

I hope this answer helps!

the perimeter a rectangle is 46 in if the width of the rectangle is 9 inches what is the length ​

Answers

The length of the rectangle is 14

steps:

9 + 9 = 18

46 - 18 = 28

28 ÷ 2 = 14

Can someone cashapp me 12 dollars and I pay them back? It’s an emergency

Answers

Answer:

Wait why

Step-by-step explanation:

I don't understand can you ask your parents or friends. I don't give strangers money.

What is 11.69517 rounded to the nearest thousandth?

Answers

The given number 11.69517 rounded to the nearest thousandth is 11.695.

What is the rounding off the number?

Rounding off a number means approximating it to a certain degree of accuracy by replacing it with another number that is nearly equal to it but has a shorter, simpler, or more explicit representation.

To round 11.69517 to the nearest thousandth, we look at the digit in the fourth decimal place, which is 5. Since 5 is greater than or equal to 5, we round up the digit in the third decimal place (9) by adding 1 to it. Therefore, 11.69517 rounded to the nearest thousandth is 11.695.

Hence, the given number 11.69517 rounded to the nearest thousandth is 11.695.

To learn more about rounding off the number, visit:

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Answer:

11.695

Step-by-step explanation:

You know 1000 mg = 1g. Convert 2.5 grams into milligrams. ​

Answers

2.5grams = 2,500 milligrams

Answer:

2.5 gramms = 2.500,000 Milligram (mg)

Step-by-step explanation:

multiply the mass value by 1000

Solve this system of equations
3x+4y=36
y= -1/2x+8

x=
y=

Answers

Answer:

x = 4

y = 6

Step-by-step explanation:

3x + 4y = 36

3x + 4(-1/2x + 8) = 36

3x - 2x + 32 = 36

x + 32 = 36

x + 32 - 32 = 36 - 32

x = 4

y = -1/2x + 8

y = -1/2(4) + 8

y = -2 + 8

y = 6

Graph y=1.4xy=1.4xy, equals, 1, point, 4, x. plz help its not too late plz

Answers

Replace x with any number and solve for Y.

Do this at least twice to get 2 points.

Place these points on the graph and draw a line through them.

See attached graph.

Let x = 2

y = 1.4(2)

y = 2.8

First point = (2,2.8)

Let x = 5

y = 1.4(5)

y = 7

Second point = (5,7)

The y-intercept is zero, that means the line is passing through origin.

What is the equation of line?

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The equation is given below.

y = 1.4x

In the above equation, y-intercept is not there, which means the line is passing through origin.

More about the equation of line link is given below.

https://brainly.com/question/21511618

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help please i dont no

Answers

The answer would be 24 glasses because you do 8 x 3 and you get 24

help me please, i need to turn this in quick and im struggling.

Answers

Answer:

3) 0.75

5)96 pens

Step-by-step explanation:

3) 5 percent *15 =

( 5:100)*15 =

( 5*15):100 =

75:100 = 0.75

5) 48/4= 12

12*8=96

The Apple Store in Honolulu sells 6,300 iPhones during a 5 hour time period. How many iPhones is The Apple Store selling in 1 minute?

Answers

Answer:

21 phones per min

Step-by-step explanation:

60 (mins in an hour) x 5= 300

6,300 divided by 300= 21

Answer: 21 iPhones a minute

Step-by-step explanation: First you have to find the amount of minutes in 5 hours so you do 5*60 which equals 300. Then you want to divide the total number of iPhone by the total amount of minutes (6,300/300) which gives you 21 iPhones a minute.

The Lowest common multiple of 2 numbers is 126
what are the 2 numbers

Answers

Answer:

Step-by-step explanation:

The least common multiple of 126 and 131 is

16,506

Mark said he can decompose five six into three fractions with three different numerators and the same denominator is this possible explain

Answers

Answer:

1/6 ; 2/6 ; 2/6

Step-by-step explanation:

To split 5/6 into. 3 different fractions with the same denominator and different numerator values;

The integer value of the numerator 5 can be divided into 3 different whole Number values ;

It could be :

5 = 3 + 1 + 1

5 = 2 + 2 + 1

Hence, we could have ;

3/6 +. 1/6 + 1/6

Or

2/6 + 2/6 + 1/3

Which of the following solutions are represented correctly on their corresponding number line ? Select two that apply.

Answers

A and B, since they both match the sentence given. In statement A, the number line shows george spent less than $20 and in statement B, the number line shows jackie’s coat cost more than $14. C uses a closed dot when it is not necessary and D is just weird.

Hep need please and thanks

Answers

the answer is the last one

Easy! What is -6^2? The calculator says -36, but -6*-6 is 36. Confusing.

Answers

It would be 36. Cause 2 negatives cancels out

You entered;

[tex]-6^{2}=(-1)(6)(6)=(-1)(36)=-36[/tex]

In order to get the answer that you intended;

[tex](-6)^{2}=(-6)(-6)=36[/tex]

Plsss help this is a grade!!!

Answers

total = 11x+8

add like terms

Answer:

The answer is 11x +8

Step-by-step explanation:

Please markme the brainliest,5 stars, and a thanks!Have a good day!

Find the inverse of each function. f (x) = 3/x − 2 + 1

Answers

The inverse is f^-1(x)=3/x+1.

Hope it helps:)

Help please
Find the area of the shaded region

Answers

Answer:

The shaded area is equal to [tex]2500\pi - 1296\pi = 1204\pi.[/tex]

Step-by-step explanation:

The shaded area is equal to the area of the outer circle minus the area of the inner circle.

The area of the outer circle is equal to [tex]r^2\pi = 50^2\pi = 2500\pi[/tex] feet.

The area of the inner circle is equal to [tex]r^2\pi = 36^2\pi = 1296\pi[/tex] feet.

So the area of the shaded area is equal to [tex]2500\pi - 1296\pi = 1204\pi.[/tex]

What's nine plus ten? Is it 21 or 19

Answers

Answer:

19 duh

Step-by-step explanation:

which table represents a function?

Answers

Answer:

you didn't post the tables

Does the following represent a function?

Answers

Answer:

No

Explanation:

The x and y values are not constant, therefore, the values in the table do not represent and function

Please help with math ASAP, will give brainliest!!

Answers

Answer:

45

60

135

150

Step-by-step explanation:

Remember:

1 radian is 57.3 degrees

If a car travels 7.5 miles in ¼ hour, how many miles will it go in 1 hour?

Answers

30 miles
Since its 1/4 hour that pass you multiply 7.5 with 4

A store that buys skateboards buys them from a manufacturer at a wholesale price of $57. The stores markup is 150%. What is the retail price?

Answers

Answer:

$85.50

Step-by-step explanation:

Multiply: 57 times 150% (1.50)

57 times 1.50=85.5

85.5 as money is $85.50

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

Answer below........

Answers

ans: 70 ...( it is by ; 180-110) because of straight angle= 180...........

× + 2 + 2x + 3 = 4x PLS HELP ME ​

Answers

Answer: 8

Step-by-step explanation:

Answer:

I dont know what your supposed to do but i can tell you that x = 5 because if you simplify the equation you get 3x + 5 = 4x. Using this you can infer that a single x is equivalent to 5 since you need 5 to get from 3x to 4x.

Which equation has infinite solutions for x?

Answers

Answer:

Equation 3

Step-by-step explanation:

I need help with my math homework.
Find the slope of each line.
Thanks!

Answers

7 is infinite 6 is 4/3 5 is zero 4 is negative 5/4

Find the area of the circle to the nearest tenth. 12 in

А) 144л in^2

B) 6л in^2

C) 12л in^2

D) 36л in^2​

Answers

Answer:

The answer is B

I had search that up before

3х - 30 = у
7y - 6 = 3х

Answers

Answer:

Step-by-step explanation:

This one is simple substitution... at least, substitution is the easiest method. The first equation is 3x – 30 = y  and the second is 7y – 6 = 3x

As I look, I see 3 ways to use substitution to solve this:

substitute 7y – 6 for 3xsubstitute 3x – 30 for ysolve 3x – 30 = y for 3x and make it equal to 7y – 6

We're going to only use 1 method for the sake of time. Try the other two on your own. Assuming you don't make any mistakes, they will work.

Method 1:

3x – 30 = y

7y – 6 = 3x  — initial system of equations

7y – 6 – 30 = y  — substitute 7y – 6 for 3x

7y – 6 – 30 = y  — marking like terms, bold for constants, underlined for variables

7y – 36 = y  — combining the constants and simplifying

Here, you could diverge into multiple paths: add 36 to both sides, subtract y from both sides, divide by 6 OR subtract 7y from both sides and divide by –6 . For the sake of time, I'm subtracting 7y, though I don't like dealing with negatives.

7y – 7y – 36 = y – 7y  — subtract 7y from both sides

–36 = –6y  — simplify

–36 ÷ –6 = –6y ÷ –6  — divide by –6 on both sides

y = 6  — simplify

Again, we can diverge here: substitute y into 3x – 30 = y or substitute y into 7y – 6 = 3x

I'm going to choose 3x – 30 = y but it will work either way, should you take the time (if you have it) to chase down every path this problem can take.

3x – 30 = y  — initial equation

3x – 30 = 6  — substitute 6 for y

3x – 30 + 30 = 6 + 30  — add 30 to both sides to isolate 3x

3x = 36  — simplify the expression

3x ÷ 3 = 36 ÷ 3  — divide both sides by 3 to isolate x

x = 12  — simplify

So, we have x = 12 and y = 6 . We know they work for 3x – 30 = y  but not if they work for 7y – 6 = 3x . Let's substitute those in to see if (12, 6) really is the solution point.

7y – 6 = 3x  — original equation

7(6) – 6 ≟ 3(12)  — substitute 6 for y and 12 for x

42 – 6 ≟ 36  — simplify by multiplying

36 = 36 ✔  — simplify by combining like terms on left side

Success! It works! We have found our solution!

I hope this helps increase your understanding of the concept. Have a great day!

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