Question

Yet another problem Dx

Answer 1

Identify the first and last term of the binomial expansion for the problem below.

(3 + 2a)5 = _____ + … + _____

Answer 2

ok wait a min this is some long stuff

Answer 3

I hate bionomials passionately :/

Answer 4

Lol xD spelt that wrong

Answer 5

\[(3+2a)^5=\left(\begin{matrix}6 \\ 0\end{matrix}\right)(2a)^6+\left(\begin{matrix}6 \\ 1\end{matrix}\right)(2a)^5(3)^1+\left(\begin{matrix}6 \\ 2\end{matrix}\right)(2a)^4(3)^2+\left(\begin{matrix}6 \\ 3\end{matrix}\right)(2a)^3(3)^3+\left(\begin{matrix}6 \\ 4\end{matrix}\right)(2a)^2(3)^4\]\[+\left(\begin{matrix}6 \\ 5\end{matrix}\right)(2a)(3)^5+\left(\begin{matrix}6 \\ 0\end{matrix}\right)(3)^6\]

Answer 6

woah.... o.e what...?

Answer 7

wait i made some mistake i did 6 instead of 5

Answer 8

lemme do it again

Answer 9

Alright, hey thank you for taking time to help me

Answer 10

\[(3+2a)^5=\left(\begin{matrix}5 \\ 0\end{matrix}\right)(2a)^5+\left(\begin{matrix}5 \\ 1\end{matrix}\right)(2a)^4(3)+\left(\begin{matrix}5 \\ 2\end{matrix}\right)(2a)^3(3)^2+\left(\begin{matrix}5 \\ 3\end{matrix}\right)(2a)^2(3)^3\]\[+\left(\begin{matrix}5 \\ 4\end{matrix}\right)(2a)^1(3)^4+\left(\begin{matrix}5 \\ 5\end{matrix}\right)(3)^5\]

Answer 11

I think I can comprehend that.

Answer 12

\[\left(\begin{matrix}5 \\ 0\end{matrix}\right)\]means 5 choose 0 or nCr on your calculator

Answer 13

Alrighty sounds simple enough.

Answer 14

lets see what you get for your answer

Answer 15

243+810a+1080a2+720a3+240a4+32a5 this is what I got for the expansion. Is this correct?

Answer 16

yes and now ill spoil the fun for ya...theres an easy way

Answer 17

since it asked for 1st and last term only

Answer 18

you can actually just 2a^5 and 3^5 to get the answer

Answer 19

Seriously?

Answer 20

yea nCr of first and last time is always nC0 and nCn which is 1

Answer 21

and since the power has to add up to n, and 1 of the term has power 0, its pretty safe to say you can do that

Answer 22

\[(2a)^5=2^5a^5=32a^5\]\[3^5=243\]

Answer 23

makes sense to you?