Choose the correct answer. The total number of terms in the expansion of (x + a) 100 + (x - a) 100 after…

Choose the correct answer.

The total number of terms in the expansion of (x + a)100 + (x - a)100 after simplification is:

  1. 51.

  2. None of these.

  3. 50.

  4. 202.

Solution

Solution:

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

Hence, the correct option is (c).

Asked in: NCERTEXAMPLER

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