Write the indicated term of the binomial expansion.
-$( 2 x + 8 ) ^ { 3 } ; \quad$ 3rd term
A) $384 x$
B) $768 x$
C) 64
D) $96 \mathrm { x } ^ { 2 }$

Question

Quizplus · Accepted Answer

The binomial expansion of $(2x + 8)^3$ is given by the formula $\sum_{k=0}^{n} \binom{n}{k} (a^{n-k})(b^k)$. For the 3rd term, $k=2$, so it is $\binom{3}{2} (2x)^{3-2}(8)^2 = 3 \cdot 2x \cdot 64 = 384x$.

Write the Indicated Term of the Binomial Expansion (2x+8)3;( 2 x + 8 ) ^ { 3 } ; \quad(2x+8)3;

Write the Indicated Term of the Binomial Expansion $( 2 x + 8 ) ^ { 3 } ; \quad$