SOLUTION: Please show the following:
(1+2nC1 + 2nC2 +2nC3 +...+ 2nC(2n-1) + 2nC2n)^2 = 16^n.
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Question 1045495: Please show the following:
(1+2nC1 + 2nC2 +2nC3 +...+ 2nC(2n-1) + 2nC2n)^2 = 16^n.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
It is enough to show that
+...+ . (Why?)
It is known that +...+ .
Letting x = 1, get directly
+...+ .
And that's it...
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