How do you factor $x^2+3xy-10y^2$ ?

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Answer 1 · 2015-05-07T17:45:44

We are looking for $a$ and $b$ such that
$a+b = 3$ and
$axxb=-10$

A quick check of possible factors for $(-10)$ gives us:
$x^2+3xy-10y^2$

$=(x+5y)(x-2y)$

How do you factor x^2+3xy-10y^2x^2+3xy-10y^2?