KCET · Maths · Definite Integration
The total number of terms in the expansion of \( (x+a)^{47}-(x-a)^{47} \) after simplification is
- A \( 24 \)
- B \( 47 \)
- C (18)
- D \( 96 \)
Answer & Solution
Correct Answer
(A) \( 24 \)
Step-by-step Solution
Detailed explanation
Given that, \( (x+a)^{47}-(x-a)^{47} \)
Since, \( n \) is odd. So, number of final terms is given by
\( \frac{n+1}{2}=\frac{47+1}{2}=\frac{48}{2}=24 \)
Since, \( n \) is odd. So, number of final terms is given by
\( \frac{n+1}{2}=\frac{47+1}{2}=\frac{48}{2}=24 \)
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