Factorise the following:
$6 a^{5} - 18 a^{3} + 42 a^{2}$

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Solution

$6 a^{5} - 18 a^{3} + 42 a^{2}$

Highest common factor is $6 a^{2}$

$∴ 6 a^{5} - 18 a^{3} + 42 a^{2}$

$= 6 a^{2} (a^{3} - 3 a + 7)$

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