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Expansion of (x^2 - y^2)

Factorise usi...

Question

Factorise using suitable identity:
b) $x^{2} + 2 x y + y^{2} - 1$

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Solution

$x^{2} + 2 x y + y^{2} - 1$
$= {(x + y)}^{2} - {(1)}^{2}$
$= (x + y - 1) (x + y - 1)$

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