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

Difference of Cubes

Difference of Squares

Square of Binomial

Sum of Cubes

Respuesta :

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 [tex]133=125+8[/tex]. We are asked to choose the polynomial identity that should be used to prove our given equation.

We can rewrite [tex]125[/tex] as [tex]5^3[/tex] and [tex]8[/tex] as [tex]2^3[/tex].

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

[tex]133=5^3+2^3[/tex]

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

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