Question

Factor 4a^2-b^2-2a+b

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: