Question

How do you factor `2a^2c^3-14bc^3+32c^3d^2`?

Answer 1

`2a^2c^3-14bc^3+32c^3d^2=color(green)((2c^3)(a^2-7b+16d^2)`

Explanation:

Since each term is even, we can extract a factor of `2`
and since each term contains `c^3` that can also be extracted.

The terms that remain contain different variables and therefore can not be further reduced.