Question

Factorize:
343 + 125b³

Answer 1

$$\begin{gathered} 343+125b^3={\left(7\right)}^3+{\left(5b\right)}^3 \\ =\left(7+5b\right)\left[{\left(7\right)}^2-7\times 5b+{\left(5b\right)}^2\right] \\ =\left(7+5b\right)\left(49-35b+25b^2\right) \end{gathered}$$