Find the indicated term.
-The third term of the expansion of $( 5 x + 2 ) ^ { 3 }$
A) $120 \mathrm { x }$
B) 24
C) $150 \mathrm { x } ^ { 2 }$
D) $60 x$

Question

Quizplus · Accepted Answer

The binomial expansion formula is used: $(a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k$. For the third term ($k=2$) of $(5x + 2)^3$, it is $\binom{3}{2} (5x)^{3-2} (2)^2 = 3 \cdot 5x \cdot 4 = 60x$.

Find the Indicated Term (5x+2)3( 5 x + 2 ) ^ { 3 }(5x+2)3

Find the Indicated Term $( 5 x + 2 ) ^ { 3 }$