Question

Which polynomial identity will prove that 37 = 64 - 27? difference of squares difference of cubes sum of cubes square of a binomial

Answer 1

Answer: 64-27=(4-3)(16+12+9) =37

Answer 2

a^3-b^3=(a-b)(a^2+ab+b^2)

a^3=64 b^3=27
a=4 b=3

Prove:

64-27=(4-3)(16+12+9)
= 37