Question

factorise each of the following :64 m^3 - 343 n^3​

Answer 1

We have,

$\quad \: 64 {m}^{3} - 343 {n}^{3} \\ \\ = {(4m)}^{3} - {(7n)}^{3} \\ \\ = (4m - 7n) \left( {(4m)}^{2} + (4m)(7n) + {(7n)}^{2} \right) {\huge{\red{\longmapsto}}}( \because \: {a}^{3} - {b}^{3} = ( {a}^{2} + ab + {b}^{2} )) \\ \\ = (4m - 7n)(16 {m}^{2} + 28mn + 49 {n}^{2} )$

$\mid \underline{\underline{\LARGE\bf\green{Brainliest \: Answer}}}\mid$