a^3 – b^3
(a-b)(a^2+ab+b^2)
The expression a^3 – b^3 is a difference of cubes. This expression can be factored using the formula for difference of cubes, which is:
a^3 – b^3 = (a – b)(a^2 + ab + b^2)
Therefore, the expression a^3 – b^3 can be factored as (a – b)(a^2 + ab + b^2).
It’s important to note that this formula only applies when the terms are cubes and one is subtracted from the other. If the terms are squares, the formula for difference of squares can be used, which is:
a^2 – b^2 = (a + b)(a – b)
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