Question: How do I factor a binomial using the difference of cubes formula?
The difference of two cubes formula is: (a-b)(a^2+ab+b^2) = a^3 - b^.
You have: 27x³-8
which is: (3x)^3 - 2^3.
Using the formula, with a = 3x and b = 2,
(3x)^3 - (2)^3 = ((3x)^2 + (3x)(2) + (2)^2)
27x³-8 = (9x^2 + 6x + 4)