Question

How do you factor `2v^3-54`?

Answer 1

`2(v-3)(v^2+3v+9)`

Explanation:

First you can factor:

`2(v^3-27)`

then, because of the known identity:

`a^3-b^3=(a-b)(a^2+ab+b^2)`,

you find:

`2(v^3-27)=2(v-3)(v^2+3v+9)`