1.

Factorise the following expression : 36x2 + 96xy + 64y2

Answer»

36x2 + 96xy + 64y2

36x2 + 96xy + 64y2

= (6x)2 + 2 × 6x × 8y + (8y)2

It is in the form of a2 + 2ab + b2

a2 + 2ab + b2 = (a + b)2

∴ 36x2 + 96xy + 64y2

= (6x + 8y)2 = (6x + 8y) (6x + 8y)



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