Factorise:
$10 x^{2} - 18 x^{3} + 14 x^{4}$ .

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Solution

$10 x^{2} - 18 x^{3} + 14 x^{4}$
$= 2 x^{2} (5 - 9 x + 7 x^{2})$
$= 2 x^{2} (7 x^{2} - 9 x + 5)$
$∴ 10 x^{2} - 18 x^{3} + 14 x^{4} = 2 x^{2} (7 x^{2} - 9 x + 5)$

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