Solve: 49-x^2-y^2+2 x y - Vidyadip

Question

Solve:
$49-x^2-y^2+2 x y$

✓

Answer

$49-x^2-y^2+2 x y$
$=49-\left(x^2+2 x y-y^2\right)$
$=7^2-(x-y)^2$
$=[7-(x-y)][7+(x-y)]$
$=(7-x+y)(7+x-y)$
$=(x-y+7)(y-x+7)$

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