Question

Which polynomial identity will prove that 133 = 8 + 125? Difference of Squares Difference of Cubes Sum of Cubes Square of a Binomial

Answer 1

Sum of Cubes will prove this because 8= 2 cubed and 125= 5 cubed

Answer 2

Answer: Sum of Cubes

Explanation:

We know that the cube of 2 is given by :

`2^3=2*2*2=8`

Also, the cube of 5 is given by :

`5^3=5*5*5=125`

Now, the sum of cubes of 2 and 5 respectively is given by:-

`2^3+5^3\\=8+125\\=133`

Therefore, the polynomial identity will prove that 133 = 8 + 125 is Sum of Cubes .