## anonymous 5 years ago find the coefficient of x^6 in the expansion of (2x+3)^10

1. anonymous

start by multiplying (2x+3) by itself 10 times. add up all the coefficients of like terms. see what the coefficient of x^6 is

2. anonymous

thanks! (:

3. anonymous

you are welcome

4. anonymous

what is (2x+3) by itself ten times

5. anonymous

(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)

6. anonymous

I think you can be a little less crude about it, and simply write down: $\binom{10}{6} \times 2^6 \times 3^4$

7. anonymous

Where $\binom{n}{r} = ^nC_r = \frac{n!}{r!(n-r)!}$

8. anonymous

Newton is right. its much easier to do it his way.

9. anonymous

i have another question