Question
Subtract:
$5 x^2-3 x y+y^2$ from $7 x^2-2 x y-4 y^2$
$5 x^2-3 x y+y^2$ from $7 x^2-2 x y-4 y^2$
✓
Answer
$5 x^2-3 x y+y^2$ from $7 x^2-2 x y-4 y^2$
$=7 x^2-2 x y-4 y^2-\left(5 x^2-3 x y+y^2\right)$
$=7 x^2-2 x y-4 y^2-5 x^2+3 x y-y^2$
$=2 x^2+x y-5 y^2$
$=2 x^2-5 y^2+x y$
$=7 x^2-2 x y-4 y^2-\left(5 x^2-3 x y+y^2\right)$
$=7 x^2-2 x y-4 y^2-5 x^2+3 x y-y^2$
$=2 x^2+x y-5 y^2$
$=2 x^2-5 y^2+x y$
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