Question

Use the Binomial Theorem to expand the expression (2y-3x)^5

Answer 1

first find the fifth level of pascal's triangle for the coefficients

Answer 2

do you know it?

Answer 3

no

Answer 4

lol
google!

Answer 5

there is tons
even "images" will be good
the fifth level is the one that starts 1, 5

Answer 6

did you find it yet?

Answer 7

binomial theorem of (a + b)^n =

\[\sum_{k=0}^{n} \left(\begin{matrix}n \\ k\end{matrix}\right) a^{n-k}b^{k}\]

Answer 8

http://www.mathsisfun.com/pascals-triangle.html

Answer 9

the fifth level is the one with the number
1 , 5, 10, 10, 5, 1

Answer 10

ok i got it, thanks again

Answer 11

those are you coefficients
then the powers have to add up to 5, so you can start with
\[ (2y-3x)^5\]
\[=(2y)^5-5(2y)^4(3x)+10(2y)^3(3x)^2-10(2y)^2(3x)^3+5(2y)(3x)^4-(3y)^5\]

Answer 12

then you have a bunch of multiplication to do
if it was me, i would cheat

Answer 13

http://www.wolframalpha.com/input/?i=+%282y-3x%29^5