Question

the expression below is a sum of cubes. 216x^3 + 64 a. true b. false

Explanation:

Step1: Rewrite terms as cubes

We know that $216x^{3}=(6x)^{3}$ since $6\times6\times6 = 216$ and $64 = 4^{3}$ since $4\times4\times4=64$.

Step2: Check form

The expression $216x^{3}+64$ can be written as $(6x)^{3}+4^{3}$, which is in the form of a sum of cubes $a^{3}+b^{3}$ where $a = 6x$ and $b = 4$.

Answer:

A. True