Find the coefficient $a$ of the term in the expansion of the binomial.
$ \begin{array}{ll}\text { Binomial } & \text { Term } \ (4 x+3 y)^{6} & a x^{2} y^{4}\end{array} $

A) $a = 10$
B) $a = 19,440$
C) $\quad a = 12$
D) $\quad a = 729$
E) $\quad a = 360$

Question

Find the coefficient $a$ of the term in the expansion of the binomial.
$ \begin{array}{ll}\text { Binomial } & \text { Term } \ (4 x+3 y)^{6} & a x^{2} y^{4}\end{array} $

A) $a = 10$
B) $a = 19,440$
C) $\quad a = 12$
D) $\quad a = 729$
E) $\quad a = 360$

Quizplus · Accepted Answer

The coefficient is found using the binomial theorem: $\binom{6}{2} (4x)^2 (3y)^4 = 15 \cdot 16 \cdot 81 = 19,440$.

Find the Coefficient aaa Of the Term in the Expansion of the Binomial

Find the Coefficient $a$ Of the Term in the Expansion of the Binomial