Question
Subtract:
$2 a b^2 c^2+4 a^2 b^2 c-5 a^2 b c^2$ from $-10 a^2 b^2 c+4 a b^2 c^2+2 a^2 b c^2$

Answer

The required difference is given by
$ \left(-10 a^2 b^2 c+4 a b^2 c^2+2 a b c^2\right)-\left(2 a b^2 c^2+4 a^2 b^2 c-5 a^2 b c^2\right) $
$ =-10 a^2 b^2 c+4 a^2 b^2 c+2 a^2 b c^2-2 a b^2 c^2-4 a^2 b^2 c+5 a^2 b c^2 $
$ =\left(-10 a^2 b^2 c-4 a^2 b^2 c\right)+\left(4 a b^2 c-2 a b^2 c^2\right)+\left(2 a^2 b c^2+5 a^2 b c^2\right) $
$ =\left(-14 a^2 b^2 c+2 a b^2 c^2+7 a^2 b c^2\right)$

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