Question

Factorisethefollowing
(3x-2y)^2-(x-y)^2

Answer (2x-3y)-(4x-y)

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Answer 1

(3x-2y)²- (x-y)²

Using a²-b² = (a+b)(a-b)

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

= (3x-2y+x-y) (3x-2y-x+y)

= (4x-3y) (2x-y)