Question

Expand 64mcube-343xcube

Answer 1

$As \: \: \: {a}^{3} - {b}^{3}\\ = (a - b)({a}^{2} + ab + {b}^{2}) \\ \\ \\ So \\ \: \: \: \: \: \: \: {64m}^{3} - {343x}^{3} \\ \\ \: \: \: \: \: \: \: (4m)^{3} - (7x)^{3}$
$= (4m - 7x)( {16m}^{2}+ {49x}^{2} + 28xm)$