Write the indicated term of the binomial expansion.
-$( 5 x + 4 ) ^ { 3 }$; 3rd term
A) $960 \mathrm { x }$
B) $240 x$
C) $300 x ^ { 2 }$
D) 192

Name: Write the indicated term of the binomial expansion. -$( 5 x + 4 ) ^ { 3 }$; 3rd term A) $960 \mathrm { x }$ B) $240 x$ C) $300 x ^ { 2 }$ D) 192
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Question

Quizplus · Accepted Answer

The binomial expansion of $(a + b)^n$ is given by $\sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k$. For the 3rd term ($k=2$) in $(5x + 4)^3$, use $\binom{3}{2} (5x)^{3-2} (4)^2 = 3 \cdot 5x \cdot 16 = 240x$.

Write the Indicated Term of the Binomial Expansion (5x+4)3( 5 x + 4 ) ^ { 3 }(5x+4)3

Write the Indicated Term of the Binomial Expansion $( 5 x + 4 ) ^ { 3 }$