The sum of exponents of a and b in every term of the expansion (a + b)^n is:
Correct answer: D. n
- A. 1
- B. 0
- C. 2n
- D. n
Explanation
The general term in the binomial expansion (a + b)^n is given by:(n choose r) a^(n-r) b^rThe sum of the exponents of a and b in each term is (n-r) + r = n.This is because the exponent of a is (n-r), and the exponent of b is r. Adding these two exponents gives the total exponent, which is n.Therefore, the sum of the exponents of a and b in every term of the expansion (a + b)^n is n.
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