Question

Factorize:
7a³ + 56b³

Answer 1

$$\begin{gathered} 7a^3+56b^3=7\left(a^3+8b^3\right) \\ =7\left[{\left(a\right)}^3+{\left(2b\right)}^3\right] \\ =7\left(a+2b\right)\left[a^2-a\times 2b+{\left(2b\right)}^2\right] \\ =7\left(a+2b\right)\left(a^2-2ab+4b^2\right) \end{gathered}$$