a^3 + b^3
(a + b)(a^2 – ab + b^2)
The expression a^3 + b^3 is the sum of the cubes of two terms, namely a and b. This expression cannot be simplified any further.
However, we can factor this expression using the formula for the sum of cubes:
a^3 + b^3 = (a + b)(a^2 – ab + b^2)
This formula can be derived using algebra and the binomial expansion of (a+b)^3.
Therefore, the factored form of a^3 + b^3 is (a + b)(a^2 – ab + b^2).
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