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Sagot :

Answer: Choice B is correct

Explanation:

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

  • If n = 1, [tex](a+b)^n = (a+b)^1 = a+b[/tex] has 2 terms.
  • If n = 2, [tex](a+b)^n = (a+b)^2 = a^2+2ab+b^2[/tex] has 3 terms
  • If n = 3, [tex](a+b)^n = (a+b)^3 = a^3+3a^2b + 3ab^2 + b^3[/tex] has 4 terms

and so on.

In general, the expansion of [tex](a+b)^n[/tex] will have n+1 terms.

When dealing with [tex](x-8y)^{10}[/tex], 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.

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