Write the indicated term of the binomial expansion.
-$( 2 x + 5 ) ^ { 3 } ; \quad$ 3rd term
A) $750 x$
B) 375
C) $150 x$
D) $60 x ^ { 2 }$

Name: Write the indicated term of the binomial expansion. -$( 2 x + 5 ) ^ { 3 } ; \quad$ 3rd term A) $750 x$ B) 375 C) $150 x$ D) $60 x ^ { 2 }$
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Question

Quizplus · Accepted Answer

The binomial expansion of $(2x + 5)^3$ is given by $\sum_{k=0}^{3} \binom{3}{k} (2x)^{3-k} (5)^k$. The 3rd term corresponds to $k=2$, which is $\binom{3}{2} (2x)^{1} (5)^2 = 3 \cdot 2x \cdot 25 = 150x$.

Write the Indicated Term of the Binomial Expansion (2x+5)3;( 2 x + 5 ) ^ { 3 } ; \quad(2x+5)3;

Write the Indicated Term of the Binomial Expansion $( 2 x + 5 ) ^ { 3 } ; \quad$