Question

factorise
$(x + 2y) ^{2} - (x - y)^{2}$
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Answer 1

$(x + 2y) ^{2} - (x - y)^{2} \\ {x}^{2} - {y}^{2} = (x + y) \times (x - y)\\ = (x + 2y + (x - y) \times (x + 2y - (x - y) \\ = (x + 2y + x - y) \times (x + 2y - x + y) \\ = (2x - y) \times (3y)$

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