Which polynomial identity will prove that 133 = 8 + 125? Difference of Squares Difference of Cubes Sum of Cubes Square of a Binomial
Sum of Cubes will prove this because 8= 2 cubed and 125= 5 cubed
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 .