Hanadenia9aa
Answered

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


Difference of Cubes


Difference of Squares


Square of Binomial


Sum of Cubes

Verified Answer :

metchelle

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.

Answer:

D. Sum of cubes.

Step-by-step 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.

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