SOLUTION: Find the constant term of the expansion of (x^-2+x^3)^15

Question 550115: Find the constant term of the expansion of (x^-2+x^3)^15
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the constant term of the expansion of (x^-2+x^3)^15
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15Cn(x^(-2n))(x^(3(15-n))
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= 15Cn(x^(-2n+45-3n))
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Solve -2n+45-3n = 0
-5n = -45
n = 9
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So, 15C9*x^(-2*9)*x(3*6))
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15C9*x^0
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= 5005*1
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= 5005
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Cheers,
Stan H.
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