Question

Factorise. a²-b²-(a+b)²​

Answer 1

Step-by-step explanation:

a²-b²-(a+b)². a²-b²-(a²+b²+2ab. a²- b²-a²-b²-2ab. -2b²-2ab. -2b (b+a).

Answer 2

Answer:

Answer

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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)