Question

What polynomial identity should be used to prove that 133 = 125 + 8?

Difference of Cubes

Difference of Squares

Square of Binomial

Sum of Cubes

Answer 1

D. Sum of cubes.

Explanation:

We have been given an equation
`133=125+8`. We are asked to choose the polynomial identity that should be used to prove our given equation.

We can rewrite
`125` as
`5^3` and
`8` as
`2^3`.

Upon substituting these values in our given equation, we will get:

`133=5^3+2^3`

Therefore, we should use sum of cubes property to prove our given equation.

Answer 2

The correct answer for the given question above with the given polynomial is the last option: Sum of Cubes. Sum of cubes is the polynomial identity that can be used to prove that 133 = 125 + 8. Sum of cubes is the sum of a perfect cube and another perfect cube.