When is it true (x+y)^n=x^n + y^n ?? Any thoughts?

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- Sep 6th 2010, 03:42 PMzg12When is it true (x+y)^n=x^n + y^n ??
When is it true (x+y)^n=x^n + y^n ?? Any thoughts?

- Sep 6th 2010, 03:48 PMTheCoffeeMachine
It's called Child's Binomial Theorem. (Rofl) If , it's true. If , not so much. For all [LaTeX ERROR: Compile failed] , though, (call it Grown-up's Binomial Theorem).

- Sep 6th 2010, 03:58 PMzg12
That's what I thought, only n=1. Thanks

- Sep 6th 2010, 04:30 PMundefined
Also of course when x=0 or y=0.