Question

How do you factor `2r^3 + 250`?

Answer 1

`2r^3 + 250 = 2(r + 5)(r^2 - 5r + 25)`

Explanation:

`2r^3 and 250`

`"Q."` What is the common term?
`"A." 2`

Factor it out:
`2r^3 + 250 = 2(r^3 + 125) = 2(r^3 + 5^3)`

This reminds us of this polynomial identity : `(a^3 + b^3) = (a + b)(a^2 - ab + b^2) =>`

`2(r^3 + 5^3) = 2(r + 5)(r^2 - 5r + 25)`