## Cutiepo0 3 years ago Expand and simplify the first 3 terms of the binomal power: (3y+5)^9 PLEASE HELP!!

1. mathteacher1729

Do you know the binomial theorem? It lets you find the nth term of insane expressions like this. :)

2. Cutiepo0

I know usually how to solve using the pascal's triangle, but I don't know how to do it for just the first 3 terms

3. mathteacher1729

http://regentsprep.org/Regents/math/algtrig/ATP4/bintheorem.htm might be useful.

4. mathteacher1729

Check out the examples. Then substitute your numbers in and see what happens. NOTE -- you will get BIG NUMBERS.

5. Cutiepo0

Okay, that was useful, but we're not supposed to be using the formula for this question. Do you know if there's any way to solve it just using pascal's triangle?

6. mathteacher1729

You'd have to expand out to the 9th row! Have fun with that! Fortunately you can do it in excel. :) http://jwilson.coe.uga.edu/EMAT6680/Parsons/MVP6690/Essay1/excel.html

7. Zarkon

use the binomial coefficients ${n\choose r}=\frac{n!}{r!(n-r)!}$