Question

please help me with factoring 216+m^3

Answer 1

First, let's arrange it onto the way we like to see it. Due to the communitive property of addition

216+m^3 is the same thing as
m^3 +216

Answer 2

This is a sum of cubes, where you can take the 3rd root of the first term and the 2nd term.

This is actually an equation where we use a formula

\[A ^{3}+B ^{3}\rightarrow \left( A +B \right)\left( A ^{2}-AB +B ^{2} \right)\]

Answer 3

The cube root of M^3 is M, the cube root of 216 is 6
So, A=m
B=6

\[\left( M +6 \right)\left( M ^{2}-6m +36 \right)\]

Answer 4

That's your final answer.

Answer 5

um ok thank you