Factorise
$a^{3} x^{3} - 3 a^{2} b x^{2} + 3 a b^{2} x - b^{3}$

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Solution

a³x³ - 3a²bx² + 3ab²x - b³

= ( ax )³ - 3 × ( ax )² b + 3 × ax × b² - b³

= ( ax - b )³

= ( ax - b )( ax - b )( ax - b )

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Similar questions

Factorize $a^{3} x^{3} - 3 a^{2} b x^{2} + 3 a b^{2} x - b^{3}$

a^{3} x^{3} - 3 a^{2} x^{2} b + 3 a b^{2} x - b^{3}

Factorise
$(a + b)^{3} - (a - b)^{3}$

{(a + b)}^{3} - {(a - b)}^{3}

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