How do you factor 27x3-64?

Answer 1

27X^3 - 64 = 0

add 64 to each side

27X^3 = 64

divide each side by 27

X^3 = 64/27

take cubic root of each side

X = cubic root(64/27)

easy cubic root

X = 4/3

check

27(4/3)^3 - 64 = 0

27(2.37037037) - 64 = 0

64 - 64 = 0

checks