Question

x - y - x^2 + y^2 factorisation pls!!! solve it​

Answer 1

Answer:

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Answer 2

${\underline{\underline{\bf{\green{Question}}}}}$

$\tt \: Factorise \: (x - y \: - {x}^{2} + {y}^{2} )$

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${\underline{\underline{\bf{\green{Solution}}}}}$

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

$\mathtt\orange{Taking\:the\:negative\:of\:(x\:-\:y),\:we\:get,}$

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

$\mathtt\orange{Using\:identity\::-\:(x^2\:-\:y^2\:=\:(x\:+\:y)\:(x\:-\:y)}$

$\tt \implies - (y - x) + [(y - x)(y + x)]$

$\mathtt\orange{Taking\:(y\:-\:x)\:as\:common,}$

$\implies \tt \: (y - x) \: \: y + x + ( - 1) \\ \\ \implies \tt (y - x) \: (y + x - 1)$

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${\underline{\underline{\bf{\green{Answer}}}}}$

$\mathtt\purple{ (y - x) \: (y + x - 1)}$