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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−1 is divisible by x+y for all n∈N.

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