1.

A2(a + b) + b2(a + b)Factorise the following:​

Answer»

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)



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