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  • The total number of terms in the expansion of (x + a)^100 + (x – a)^100 after simplification is (A) 50 (B) 202 (C) 51 (D) none of these

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

(A) 50 (B) 202 (C) 51 (D) none of these

Answers (1)

(c) 51.

Now, (x+a)100 + (x-a)100 = (100C0x100 + 100C2x99a + 100C2x98a2 + ….) + (100C0x100 - 100C2x99a + 100C2x98a2)

                                               = 2(100C0x100 + 100C2x98a2 +…..+100C100a100)

Therefore, there are 51 terms.
 

Posted by

infoexpert22

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