Factor the sum or difference of cubes. s3 + 8
A)(s + 2)(s2 - 2s + 4)
B)(s - 2)(s2 + 2s + 4)
C)(s + 2)(s2 + 2s + 4)
D)(s - 2)3
E)(s + 2)3

Name: Factor the sum or difference of cubes. s3 + 8 A)(s + 2)(s2 - 2s + 4) B)(s - 2)(s2 + 2s + 4) C)(s + 2)(s2 + 2s + 4) D)(s - 2)3 E)(s + 2)3
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Question

Quizplus · Accepted Answer

The sum of cubes can be factored using the formula $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$. Here, $s^3 + 8$ can be rewritten as $s^3 + 2^3$, so $a = s$ and $b = 2$. Applying the formula gives $(s + 2)(s^2 - 2s + 4)$.

Factor the Sum or Difference of Cubes