# Algebra 2

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when expanding (x+y)^8, either an x or a y from each of the eight factors is used in the product. That means that x^3y^5 is going to occur several times and the number of times it occurs becomes the coefficient for x^3y^5. Based on this, what is the coefficient for x^3y^5?

• Algebra 2 -

the coefficient of x^m y^n is C(N,m) where m+n=N

C(8,3) = C(8,5) = 8*7*6/3! = 56

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