Question

Which is a factored form of 27x^3+64

Answer 1

27x^3 = (3x)^3 and
64 = 4^3

so, 27x^3+64 = (3x)^3 + 4^3
now you can use this formula :
a^3 + b^3 = (a+b)(a^2 - ab + b^3)

in this case a = 3x and b = 4