Question

How do you factor `54c^3d^4+9c^4d^2`?

Answer 1

`9c^3d^2(6d^2+c)`

Explanation:

We check it by expanding:
`9c^3d^2(6d^2+c)=54c^3d^4+9c^4d^2`

Answer 2

`9c^3d^2(6d^2+c)`

Explanation:

Look at what power each `c` and `d` is raised to and take out the most that you can out of both of them:

there are at least three c's in both terms so you can pull out a `c^3` and there are at least 2 d's in both terms so pull out `d^2`. Finally there is a common factor 9 in both terms so we'll pull that out as well:

`9c^3d^2(6d^2+c)`