Solve: x^2-y^2+6 y-9 - Vidyadip

Question

Solve:
$x^2-y^2+6 y-9$

✓

Answer

$x^2-y^2+6 y-9$
$=x^2-\left(y^2+6 y-9\right)$
$=x^2-\left(y^2-2 x y \times 3+3^2\right)$
$=x^2-(y-3)^2$
$=[x-(y-3)][x+(y-3)]$
$=(x-y+3)(x+y-3)$

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