Question

Factorisation (a + b)^2 – (a - b)^2​

Answer 1

Answer:

a+b)

2

−(a−b)

2

=[(a+b)+(a−b)][(a+b)−(a−b)]

=(a+b+a−b)(a+b−a+b)=(2a)(2b)=(4)(a)(b)

Answer 2

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${( a + b)}^{2} - {(a - b)}^{2} \\ \\ = > ( {a}^{2} + {b}^{2} + 2ab) - ( {a}^{2} + {b}^{2} - 2ab) \\ \\ = > {a}^{2} + {b}^{2} + 2ab - {a}^{2} - {b}^{2} + 2ab \\ \\ = > 4ab$