# Math Help - Factoring sum of two cube

1. ## Factoring sum of two cube

factor sum of two cube:
27x+3x^3

can you explain me by steps? thank you!

2. Originally Posted by Anemori

factor sum of two cube:
27x+3x^3

can you explain me by steps? thank you!
$27x+3x^3$

This isn't the sum of two cubes. Although 27 is a cube, $27x$ is not a cube. Also, $3x^3$ isn't a cube either.

You can factor out $3x$ to obtain:

$x(27+3x^2)=3x(9+x^2)$

3. $(a^3+b^3)=(a+b)(a^2-ab+b^2)$

But this will not work for your expression as said above.