Factorise: $27 x^{3} - 21 x^{2} + 15 x^{4}$

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Solution

$27 x^{3} - 21 x^{2} + 15 x^{4}$
$= 15 x^{4} + 27 x^{3} - 21 x^{2}$
$= 3 x^{2} (5 x^{2} + 9 x - 21)$

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(9 x^{5} - 15 x^{4} - 21 x^{2}) \div (3 x^{2})

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