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

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0start by multiplying (2x+3) by itself 10 times. add up all the coefficients of like terms. see what the coefficient of x^6 is

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what is (2x+3) by itself ten times

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)(2x+3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think you can be a little less crude about it, and simply write down: \[ \binom{10}{6} \times 2^6 \times 3^4 \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Where \[\binom{n}{r} = ^nC_r = \frac{n!}{r!(nr)!}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Newton is right. its much easier to do it his way.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i have another question
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