Question

Find the 3rd term in:

Answer 1

\[\LARGE (x+y)^4\]

Answer 2

The 3 term?

Answer 3

Clarify on what you're asking please =)

Answer 4

I think he means to find the third term when putting (x+y)^4 in standard descending expanded form.

Answer 5

Yea, that ^

Answer 6

(x+y)(x+y)(x+y)(x+y)
er, (x+y) ?

Answer 7

Yep multiplying it all out.
But there is a shortcut.

Answer 8

You learned this in Alg II/trig/pre-calc sham :)

Answer 9

Just wanted to be sure what he was asking xD

Answer 10

it seemed to easy lol.
thought it was a trick question o-o

Answer 11

You could use pascal's triangle or the binomial theorem

Answer 12

\[(x+y)^4 = x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4\]

Answer 13

third term is 6x^2y^2

Answer 14

\[(a+b)^n=\left(\begin{matrix}n \\ 0\end{matrix}\right)a^na^0+\left(\begin{matrix} n \\ 1\end{matrix}\right)a^{n-1}b^1+\cdots +\left(\begin{matrix}n \\ k\end{matrix}\right)a^{n-k} b^k+\cdots \left(\begin{matrix}n \\ n\end{matrix}\right)a^0b^n\]
where that one term that has all the k's is the k+1 term.

Answer 15

I has a question what is the difference between the diamond shaped smart score, the purple smart score and the green smart score?

Answer 16

What's the form of a polynomial who's "pascal triangle" has the form::