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anonymous
 5 years ago
Mathematical Induction Question:
Prove using MI : ( x^n  y^n) is divisible by (xy)
anonymous
 5 years ago
Mathematical Induction Question: Prove using MI : ( x^n  y^n) is divisible by (xy)

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nikvist
 5 years ago
Best ResponseYou've already chosen the best response.0\[x^{n+1}y^{n+1}=x^{n+1}xy^n+xy^ny^{n+1}+x^nyx^ny=\] \[=x(x^ny^n)+y(x^ny^n)xy(x^{n1}y^{n1})=\] \[=(x+y)(x^ny^n)xy(x^{n1}y^{n1})\] this is divisible by xy

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0How is this divisible by xy ?
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