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HELPP PLEASEEEEEEE!!!!

HELPP PLEASEEEEEEE!!!!-example-1
User Bradmo
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1 Answer

10 votes

Answer: Choice B is correct

Step-by-step 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.

User Lorde
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