Question

Factorise: a³-b³-a+b​

Answer 1

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• Factorise ${a}^{3} - {b}^{3} - a + b$

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${a}^{3} - {b}^{3} - a + b$

$= ( {a}^{3} - {b}^{3} ) - 1(a - b)$

$= (a - b)( {a}^{2} + ab + {b}^{2} ) - 1(a - b)$

$= (a - b)( {a}^{2} + {b}^{2} + ab - 1)$

$\star\:\:\bf\large\underline\blue{Answer:-}$

• $(a - b)( {a}^{2} + {b}^{2} + ab - 1)$