3. Factor the expression a^3+216 A. (a+6)(a^2+6a+18) B. (a+6)(a^2-6a+18) C. (a+6)(a^2-6a+36) D. (a-6)(a^2+6a+36)

Name: 3. Factor the Expression A^3+216 A. (a+6)(a^2+6a+18) B. (a+6)(a^2-6a+18) C. (a+6)(a^2-6a+36) D. (a-6)(a^2+6a+36)
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Question

3. Factor the expression a^3+216 A. (a+6)(a^2+6a+18) B. (a+6)(a^2-6a+18) C. (a+6)(a^2-6a+36) D. (a-6)(a^2+6a+36)

Answer 1

To factor the expression

, we can use the sum of cubes formula, which states that

.In this case, we have

, which can be rewritten as

. Applying the sum of cubes formula, we get:

Therefore, the correct answer is C.

.

Problemas

3. Factor the expression a^3+216 A. (a+6)(a^2+6a+18) B. (a+6)(a^2-6a+18) C. (a+6)(a^2-6a+36) D. (a-6)(a^2+6a+36)

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