Question

find indicated term
3rd, (a+b)^{6}

Answer 1

so you are going to expand using the binomial theorem.
The kth term of:
\[(a+b)^n\]
is :
\[\left(\begin{matrix}n \\ k-1\end{matrix}\right)a^{n-(k-1)}b^{k-1}\]
so in your problem, n = 6, and k = 3, so just plugging in numbers we get:
\[\left(\begin{matrix}6 \\ 3-1\end{matrix}\right)a^{6-(3-1)}b^{3-1} = 15a^4b^2\]

Answer 2

if you need anything explained in more detail just ask :)

Answer 3

ok thank you:)