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Factorisation by Regrouping Terms

Simplify: 5 ...

Question

Simplify:
$5 x^{3} + 2 x^{2} - 3 x$

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Solution

$y = 5 x^{3} + 2 x^{2} - 3 x$

$= x (5 x^{2} + 2 x - 3)$
$= x (5 x^{2} + 5 x - 3 x - 3)$
$= x (5 x - 3) (x + 1)$ .

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