Question

What is the second term of the expand the binomial above. (8v + s)5

Answer 1

(8v + s)5 (multiply 5 into the parentheses)

(8v × 5) + (s × 5)

40v + 5s

Answer 2

Let's assume that's a fifth power.

The first term is

${5 \choose 0}(8v)^5 s^0$

and the second term is

${5 \choose 1}(8v)^4 s^1$

5 choose 1 is 5 and $8^4=2^{12}=4096.$

Answer: $20480 v^4 s$