Question

(x+y)
$(x + y) ^{2} - (a - b) ^{2}$
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Answer 1

Step-by-step explanation:

$\color{red}{\huge{\underline{\underline{GIVEN\dag}}}}$

• ${(x + y)}^{2} - {(a - b)}^{2}$

$\color{red}{\huge{\underline{\underline{SOLUTION\dag}}}}$

We know that,

$\color{blue}{{\boxed{ {(a±b)}^{2} = {a}^{2} + {b}^{2} ±2(a)(b)}}}$

$⇒{x}^{2} + {y}^{2} + 2(x)(y) - ({a}^{2} + {b}^{2} - 2(a)(b))$

$⇒ {x}^{2} + {y}^{2} - {a}^{2} - {b}^{2} + 2xy + 2ab$

$⇒ {x}^{2} + {y}^{2} - {a}^{2} - {b}^{2} + 2(xy + ab)$

HOPE THAT HELPS!!