Answer
$ (x)^6 +6(x)^5(y) + 15(x)^4(y)^2 +20(x)^3(y)^3 +15(x)^2(y)^4 +6(x)(y)^5 + (y)^6$
Work Step by Step
Use the formula, we have $(x+y)^6=\binom 6 0(x)^6 + \binom 6 1(x)^5(y) + \binom 6 2(x)^4(y)^2 +\binom 6 3(x)^3(y)^3 +\binom 6 4(x)^2(y)^4 +\binom 6 5(x)(y)^5 +\binom 6 6(y)^6 = (x)^6 +6(x)^5(y) + 15(x)^4(y)^2 +20(x)^3(y)^3 +15(x)^2(y)^4 +6(x)(y)^5 + (y)^6$
