Find the indicated term or coefficient of the binomial expansion.
-$$\text { Find the coefficient of } x ^ { 2 } \text { in the expansion of } ( 3 x + 2 ) 10 \text {. }$$
A)658,948
B)34,560
C)103,680
D)51,840

Question

Quizplus · Accepted Answer

The coefficient of $x^2$ in the expansion of $(3x + 2)^{10}$ can be found using the binomial theorem, specifically the term involving $x^2$ will be given by the combination $\binom{10}{2}$ multiplied by $3x$^2 and $2$^{8}. This gives $\binom{10}{2} \cdot (3^2) \cdot 2^8 = 45 \cdot 9 \cdot 256 = 103,680$.

Find the Indicated Term or Coefficient of the Binomial Expansion Find the coefficient of x2 in the expansion of (3x+2)10. \text { Find the coefficient of } x ^ { 2 } \text { in the expansion of } ( 3 x + 2 ) 10 \text {. } Find the coefficient of x2 in the expansion of (3x+2)10.

Find the Indicated Term or Coefficient of the Binomial Expansion $\text { Find the coefficient of } x ^ { 2 } \text { in the expansion of } ( 3 x + 2 ) 10 \text {. }$