Question

let's factorise:
x^2-2x-y^2+2y​

Answer 1

$\huge \bf {x}^{2} - 2x - {y}^{2} + 2y \\ \\ \rightarrow \sf \: \: \: \: {x}^{2} - {y}^{2} - 2x + 2y \\\rightarrow \sf \: \: \: \: ( {x}^{2} - {y}^{2} ) - 2(x - y) \\ \rightarrow \sf \: \: \: \: [(x - y)(x + y)] - 2(x - y) \\ \rightarrow \sf \: \: \: \: \red{ [x - y][x + y - 2]}$

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