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Question: Answered & Verified by Expert
The number of terms in the expansion of \( \left(x^{2}+y^{2}\right)^{25}-\left(x^{2}-y^{2}\right)^{25} \) after simplification is
MathematicsBinomial TheoremKCETKCET 2019
Options:
  • A \( 13 \)
  • B \( 50 \)
  • C \( 00 \)
  • D \( 26 \)
Solution:
1923 Upvotes Verified Answer
The correct answer is: \( 13 \)
(A)
\( (a+b)^{n}-(a-b)^{n} \) if \( \mathrm{n} \) is odd
On simplification we get \( \frac{n+1}{2} \) terms i.e., \( \frac{25+1}{2}=13 \) terms

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