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

2a^2c^3-14bc^3+32c^3d^2=color(green)((2c^3)(a^2-7b+16d^2)
Since each term is even, we can extract a factor of $2$
and since each term contains ${c}^{3}$ that can also be extracted.