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Question
The total number of terms in the expansion of (x + a)100 + (x – a)100 after simplification is ______.
Options
50
202
51
None of these
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Solution
The total number of terms in the expansion of (x + a)100 + (x – a)100 after simplification is 51.
Explanation:
Number of terms in the expansion of (x + a)100 = 101
Number of terms in the expansion of (x – a)100 = 101
Now 50 terms of expansion will cancel out with negative 50 terms of (x – a)100
So, the remaining 51 terms of first expansion will be added to 51 terms of other
Therefore, the number of terms = 51
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