Question

factories the following expression a^2--ab^2​

Answer 1

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We know the identity a

2

−b

2

=(a+b)(a−b)

Using the above identity, the given expressiona

2

−b

2

−a+b can be factorised as follows:

a

2

−b

2

−a+b=[(a+b)(a−b)]−1(a−b)=(a−b)(a+b−1)

Hence, a

2

−b

2

−a+b=(a−b)(a+b−1)