Question

question 8 of 10
which of the following terms appear in the expansion of ((x + y)^{10})? the letter (a) in each term represents a real constant.

a. (ax^{3}y^{7})
b. (ax^{5}y^{5})
c. (ay^{5})
d. (ax^{5})

Explanation:

Step1: Recall binomial theorem rule

Terms in $(x+y)^n$ are $C(n,k)x^{n-k}y^k$ where $n-k+k=n$.

Step2: Check each option's exponent sum

A: $3+2=5≠10$; B: $5+5=10$; C: $0+5=5≠10$; D: $5+0=5≠10$.

Answer:

B. $ax^5y^5$