Question

x square +2xy - y square- a sqaure +2ab-b square

Answer 1

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Answer 2

$\Large{\underline{\underline{\bf{Solution:-}}}}$

${x}^{2} + 2xy + {y}^{2} - {a}^{2} + 2ab - {b}^{2} \\ \\ = ( {x}^{2} + 2xy + {y}^{2} ) - ( {a}^{2} - 2ab + {b}^{2} ) \\ \\ = {(x + y)}^{2} - {(a - b)}^{2} \\ \\={(x + y) + (a - b)}×{(x + y) - (a - b) }\\ \\ = (x + y + a - b)(x + y - a + b)$

$\Large{\underline{\underline{\bf{Thanks}}}}$