91Ó°ÊÓ

Evaluate each binomial coefficient,

$$\begin{gathered} \left(a\right)\left(\begin{array}{c}2\\ 1\end{array}\right) \\ \left(b\right)\left(\begin{array}{c}11\\ 11\end{array}\right) \\ \left(c\right)\left(\begin{array}{c}9\\ 6\end{array}\right) \\ \left(d\right)\left(\begin{array}{c}6\\ 5\end{array}\right) \end{gathered}$$

Use the Binomial Theorem to expand ${\left(x+y\right)}^5$.

Use the Binomial Theorem to expand${\left(x+y\right)}^5$

In the following exercise, determine if the sequence is geometric, and if so, indicate the common ratio.

$3,12,48,192,768,3072,...$

Find a general term for the sequence whose first five terms are shown. 4, 8, 12, 16, 20, …

Use the Binomial Theorem to expand${\left(m+n\right)}^6$.

Use the Binomial Theorem to expand${\left(y-1\right)}^6$.

Use the Binomial Theorem to expand${\left(3x-2y\right)}^5$

Find the third term of${\left(x+y\right)}^6$

Find the fifth term of$(a+b{)}^8$