How do you expand (y^4+2x)^7(y4+2x)7?

1 Answer
Vinícius Ferraz
Apr 28, 2017

1(y^4)^7 + 7(y^4)^6(2x) + 21(y^4)^5(2x)^2 + 35(y^4)^4(2x)^3 + 35(y^4)^3(2x)^4 + 21(y^4)^2(2x)^5 + 7(y^4)(2x)^6 + 1(2x)^71(y4)7+7(y4)6(2x)+21(y4)5(2x)2+35(y4)4(2x)3+35(y4)3(2x)4+21(y4)2(2x)5+7(y4)(2x)6+1(2x)7

Explanation:

1
1,1
1,2,1
1,3,3,1
1,4,6,4,1
1,5,10,10,5,1
1,6,15,20,15,6,1

1,7,21,35,35,21,7,11,7,21,35,35,21,7,1

sum_{k = 0}^n frac{7!}{k! (7-k)!} (y^4)^(7 - k)(2x)^kn∑k=07!k!(7−k)!(y4)7−k(2x)k

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