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

Step-by-step explanation:

We know that the cube of 2 is given by :

$2^3=2\times2\times2=8$

Also, the cube of 5  is given by :

$5^3=5\times5\times5=125$

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 .