Question

(x2 - x) y2 + y - (x2 + x) -- Factorise

Answer 1

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$( {x}^{2} - x) \: {y}^{2} + y - ( {x}^{2} + x) \\ \\ \implies \:x(x - 1) {y}^{2} + y - x(x + 1) \\ \\ \implies \: x(x - 1) {y}^{2} +( {x}^{2} - ( {x}^{2} - 1)y - x(x + 1) \\ \\ \implies \: x(x - 1) {y}^{2} + ( {x}^{2})y - ( {x}^{2} - 1)y - x(x + 1) \\ \\ \implies \: xy \: (x - 1)y + x - (x + 1) \: (x - 1)y + x \\ \\ \implies(x - 1)y + x (xy - (x + 1) \\ \\ \implies \: (xy - y + x)(xy - x - 1)$

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Answer 2

Answer:

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