A2-b2 ÷5a-5b factorise​

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "b2"   was replaced by   "b^2".  1 more similar replacement(s).

STEP

1

:

           5a + 5b

Simplify   ———————

           a2 - b2

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  5a + 5b  =   5 • (a + b)  

Trying to factor as a Difference of Squares:

2.2      Factoring:  a2 - 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 :  a2  is the square of  a1  

Check :  b2  is the square of  b1  

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

Canceling Out :

2.3    Cancel out  (a + b)  which appears on both sides of the fraction line.

Final result :

   5 / a -b  

Step-by-step explanation:

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step-by-step explanation: