Question

find the coefficient of x^6 in the expansion of (2x+3)^10

Answer 1

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

Answer 2

thanks! (:

Answer 3

you are welcome

Answer 4

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

Answer 5

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

Answer 6

I think you can be a little less crude about it, and simply write down:

\[ \binom{10}{6} \times 2^6 \times 3^4 \]

Answer 7

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

Answer 8

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

Answer 9

i have another question