# How do you factor the sum or difference of two cubes #x^3-27#?

Beginning Equation:

This is a case of factoring difference of cubes.

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You can factor the sum or difference of two cubes (x^3 - 27) using the formula:

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

For (x^3 - 27), (a) is (x) and (b) is (3), so the factored form is:

[x^3 - 27 = (x - 3)(x^2 + 3x + 9)]

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