Question

HELPP PLEASEEEEEEE!!!!

Answer 1

Answer: Choice B is correct

Explanation:

I think it's beneficial to look at $(a+b)^n$ for small values of n such as n = 1, n = 2, n = 3, etc.

• If n = 1, $(a+b)^n = (a+b)^1 = a+b$ has 2 terms.
• If n = 2, $(a+b)^n = (a+b)^2 = a^2+2ab+b^2$ has 3 terms
• If n = 3, $(a+b)^n = (a+b)^3 = a^3+3a^2b + 3ab^2 + b^3$ has 4 terms

and so on.

In general, the expansion of $(a+b)^n$ will have n+1 terms.

When dealing with $(x-8y)^{10}$, we have n = 10 lead to n+1 = 10+1 = 11 terms.

The coefficients of each binomial expansion can be found in Pascal's Triangle. Or you can use the nCr combination formula.