Question

Factorise 4(x+y)^2 - 9(x-y)^2Factorise

Answer 1

Step-by-step explanation:

4(x+y)^2 - 9(x-y)^2

Let (x+y) be a and (x-y) be b

therefore,

4a^2 - 9b^2

= (2a)^2 - (3b)^2

= (2a+3b)(2a-3b)

Putting the values of a and b we get,

{2(x+y) + 3(x-y)}{2(x+y) - 3(x-y)}

= {2x +2y + 3x + 3y}{2x + 2y - 3x + 3y}

= {5x + 5y}{5y - x}

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