Write the binomial expansion of the expression.
-$$\left( \frac { 1 } { 3 } x + 4 \right) ^ { 3 }$$
A) $\frac { 1 } { 27 } x ^ { 6 } + \frac { 8 } { 9 } x ^ { 3 } + 64$
B) $\frac { 1 } { 9 } x ^ { 3 } + \frac { 4 } { 3 } x ^ { 2 } + 64$
C) $\frac { 1 } { 9 } x ^ { 3 } + \frac { 4 } { 3 } x ^ { 2 } + 16 x + 64$
D) $\frac { 1 } { 27 } x ^ { 3 } + \frac { 4 } { 3 } x ^ { 2 } + 16 x + 64$

Question

Quizplus · Accepted Answer

The correct expansion of $\left( \frac { 1 } { 3 } x + 4 \right) ^ { 3 }$ using the binomial theorem is $\frac { 1 } { 27 } x ^ { 3 } + \frac { 4 } { 3 } x ^ { 2 } + 16 x + 64$, which matches option D.

Write the Binomial Expansion of the Expression (13x+4)3\left( \frac { 1 } { 3 } x + 4 \right) ^ { 3 }(31​x+4)3

Write the Binomial Expansion of the Expression $\left( \frac { 1 } { 3 } x + 4 \right) ^ { 3 }$