Question

(a) Factorise: a2 – b2 – (a+b)2​

Answer 1

Ans:- a^2 - b^2 - (a+b)^2

= (a + b)(a - b) - (a + b)^2 ; (a^2 - b^2 = (a + b)(a - b)

= (a + b) (a -b) - (a + b) (a + b)

= (a + b) { a - b - a - b)

= (a + b) (a - b - a - b)

hence, (a + b) (a - b - a - b) is the factorisation of a^2 – b^2 – (a+b)^2

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