Question

A^3 - 5 root 5 b^3
factorise it.

Answer 1

We know,

$\sf \large {a}^{3} - {b}^{3} = \: (a - b)({a}^{2} + {b}^{2} + ab)$

Using the above formula,

$\huge \bf \: \: \: {{a}}^{3} - 5 \sqrt{5} {b}^{3} \\ \\ \tt(a - \sqrt{5} b) [{a}^{2} + 5 {b}^{2} + (a)( - \sqrt{5}b)] \\ \tt \red{(a - \sqrt{5} b)[{a}^{2} + 5 {b}^{2} - \sqrt{5}ab ]}$

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