Question

I keep getting turned around with these types of problems. Factor x^3 -516

Answer 1

are you sure it's not 512 instead of 516?

Answer 2

let me check

Answer 3

or it possibly could be 216

Answer 4

Sorry i wrote it down wrong, it is 512

Answer 5

that's ok

Answer 6

notice how 8^3 = 512

Answer 7

so

x^3 - 512

is really the same as

x^3 - 8^3

Answer 8

x^3 - 8^3 is a difference of cubes, so use the rule


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


to factor

Answer 9

okay I'll go back and try

Answer 10

is it(x-3)(x^2-3x-64)?

Answer 11

how are you getting 3?

Answer 12

in this case

a = x
b = 8

Answer 13

from x^3