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Questions  

  For each nN,x2n1+y2n1 is divisible by

a
x+y
b
(x+y)2
c
x3+y3
d
None of these

detailed solution

Correct option is A

x2n−1+y2n−1=(x+y)x2n−2−x2n−3y+x2n−4y2−x2n−5y3+.....…+y2n−2Thus, x2n−1+y2n−11 is divisible by x + y for all n∈N

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