Simplify:
$x^{2} (2 x^{2} - 3) + 3 x^{2} (4 x - x^{3}) - 7 x^{5}$

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Solution

Given $x^{2} (2 x^{2} - 3) + 3 x^{2} (4 x - x^{3}) - 7 x^{5}$
$= 2 x^{4} - 3 x^{2} + 12 x^{3} - 3 x^{5} - 7 x^{5}$
$= - 10 x^{5} + 2 x^{4} + 12 x^{3} - 3 x^{2}$

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