In the expansion (a + x)^n, the sum of exponents of a and x is:
Correct answer: D. 2n
- A. n
- B. n - 1
- C. n + 1
- D. 2n
Explanation
The general term of the binomial expansion (a + x)^n is given by the formula:(n choose r) a^(n-r) x^rWhere:n is the exponent of the binomial expressionr is the index of the term in the expansionThe sum of the exponents of a and x in each term is (n-r) + r = n.Therefore, the sum of exponents of a and x in the entire expansion is 2n.
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