Evaluate :
$2 a^{2} (a^{3} - a) - 3 a (a^{4} + 2 a) - 2 (a^{4} - 3 a^{2})$

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Solution

$= 2 a^{2} (a^{3} - a) - 3 a (a^{4} + 2 a) - 2 (a^{4} - 3 a^{2})$
$= 2 a^{5} - 2 a^{3} - 3 a^{5} - 6 a^{2} - 2 a^{4} + 6 a^{2}$
$= 2 a^{5} - 3 a^{5} - 2 a^{4} - 2 a^{3} - 6 a^{2} + 6 a^{2}$
$= - a^{5} - 2 a^{4} - 2 a^{3} - 6 a^{2} + 6 a^{2}$
$= - a^{5} - 2 a^{4} - 2 a^{3}$

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