Question

True or False The expression below is a sum of cubes. 125x^3 + 216

Answer 1

The answer to the question is true.

Answer 2

True

Explanation:

Given expression is 125
`x^(3) + 216`

Now we have to write 125 and 216 as a power of cube.

125 = 5*5*5 =
`5^(3)`

Similarly, we can write

216 = 6*6*6 =
`6^(3)`

We can rewrite the given expression as

`5^(3) x^(3) + 6^(3)`

We know
`(ab)^(3) = a^(3) b^(3)` Using the power property rule.

`(5x)^(3) + 6^(3)`

Which is the sum of cubes.

Therefore, the answer is True.