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

1 Answer
Mar 31, 2016

Answer:

#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.