Question

Evaluate using factors ${401}^2\times 400-{400}^3$

Answer 1

Given ${401}^2\times 400-{400}^3$
Taking 400 common , we have
= $400({401}^2-{400}^2)$ ( its in the form $a^2-b^2$)

= $400(401+400)(401-400)$

= $\left(400\right)\left(801\right)\left(1\right)$

= 320400