Factorisation of the expression $10 x^{2} - 100 x + x^{3}$ result in:

x (x^{2} - 10 x - 100)

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x (x^{2} + 10 x + 100)

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x (x^{2} + 10 x - 100)

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x (100 + 10 x - x^{2})

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Solution

The correct option is C $x (x^{2} + 10 x - 100)$
$10 x^{2} - 100 x + x^{3} = (10 \times x \times x) - (100 \times x) + (x \times x \times x)$

$= x (10 x - 100 + x^{2})$

$= x (x^{2} + 10 x - 100)$

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