Factor the sum or difference of cubes. 27q3 + 1
A)(3q - 1)3
B)(3q + 1)3
C)(3q + 1)(9q2 - 3q + 1)
D)(3q + 1)(9q2 + 3q + 1)
E)(3q - 1)(9q2 - 3q + 1)

Name: Factor the sum or difference of cubes. 27q3 + 1 A)(3q - 1)3 B)(3q + 1)3 C)(3q + 1)(9q2 - 3q + 1) D)(3q + 1)(9q2 + 3q + 1) E)(3q - 1)(9q2 - 3q + 1)
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Question

Quizplus · Accepted Answer

We can use the formula for the sum of cubes:

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

In this case, a = 3q and b = 1, so:

27q^3 + 1 = (3q + 1)(9q^2 - 3q + 1)

Therefore, the best choice is C.

Factor the Sum or Difference of Cubes