Question

Factorize:
64x³ − 343

Answer 1

$$\begin{gathered} 64x^3-343={\left(4x\right)}^3-{\left(7\right)}^3 \\ =\left(4x-7\right)\left(16x^2+4x\times 7+7^2\right) \\ =\left(4x-7\right)\left(16x^2+28x+49\right) \end{gathered}$$