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AP EAMCET · Maths · Basic of Mathematics

Which of the following is divisible by x2-y2,  xy?

  1. A xn-yn  nN
  2. B xn+yn  nN
  3. C xn-ynx2n+1+y2n+1  nN
  4. D xn-ynxm+ym  m, nN
Verified Solution

Answer & Solution

Correct Answer

(C) xn-ynx2n+1+y2n+1  nN

Step-by-step Solution

Detailed explanation

The expression xn-yn is divisible by (x+y)(x-y), if n=even. Similarly, xn-yn is divisible by (x-y), if n=odd and x2n+1+y2n+1 is divisible by (x+y).