Solve the problem.
-$$( 3 x + 4 ) ^ { 3 }$$
A) $27 x ^ { 3 } + 108 x ^ { 2 } + 144 x + 64$
B) $9 x ^ { 2 } + 24 x + 16$
C) $27 x ^ { 3 } + 108 x ^ { 2 } + 108 x + 64$
D) $9 x ^ { 6 } + 12 x ^ { 3 } + 4096$

Question

Quizplus · Accepted Answer

To solve the problem, you need to expand the cube of the binomial $(3x + 4)^3$. Using the binomial theorem or by multiplying the binomial by itself three times, the correct expansion is $27x^3 + 108x^2 + 144x + 64$, which matches option A.

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Solve the Problem $( 3 x + 4 ) ^ { 3 }$