Question

Find the factors of a² - b²​

Answer 1

Answer:

Step-by-step explanation:

   Factoring:  a2-b2  

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)

Answer 2

Answer:

(a+b)(a-b)

Step-by-step explanation:

The formula for a²-b²=(a+b)(a-b)

Here L.H.S=R.H.S

Multiply (a+b)(a-b)=a²-ab+ab-b²

-ab and +ab gets cancelles

(a+b)(a-b)=a²-b²

Hence proved