Question

${x}^{2} - {y}^{2} - x - y$
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Answer 1

★Given:-

$⇢{x}^{2} - {y}^{2} - x - y$

★To find:-

⇢Factorise

★Solution :-

$\color{red} \implies {x}^{2} - {y}^{2} - x - y \\ \\ \\ \green{ \longmapsto (x + y)(x - y) - (x + y) }\\ \\ \\ \color{teal} \longmapsto (x + y)(x - y - 1)$

Hence, The Answer is (x+y) (x-y-1).