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Aug 31, 2015 · How do you find the binomial expansion of (x + y)7? Use the Binomial Theorem and Pascal's triangle to find: (x +y)7. = x7 +7x6y + 21x5y2 + 35x4y3 +35x3y4 +21x2y5 +7xy6 + y7. The Binomial Theorem tells us: (x +y)N = N ∑ n=0(N n)xN −nyn. where (N n) = N! n!(N −n)! So in our case: (x +y)7 = (7 0)x7 + (7 1)x6y +... + (7 6)xy6 +(7 7)y7.

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