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Answered

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Which of the following statements regarding the expansion of (x+y)^n are
correct?
O A. The coefficients of x^n and y^n both equal 1.
B. The coefficients of x^n-1 and y^n-1 both equal 1.
- 1
O c. The coefficients of x^a y^b and x^b y^a are equal.
O D. For any term x^a y^b in the expansion, a-b = n.

Sagot :

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Answer:

A, B, and D are all true

Step-by-step explanation:

N/A

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The two true statements for the expansion are A and C.

Which statements are true?

In the expansion of (x + y)ⁿ, each one of the terms will have a total exponent equal to n, this means that we will have terms like:

[tex]x^k*y^j[/tex]

Such that k + j = n.

Particularly, we get the terms xⁿ and yⁿ only once, so the first statement is correct, the coefficients of these terms will be 1.

It is also true that the coefficients of:

[tex]x^k*y^j = x^k*y^k[/tex]

Are equal.

Then the two true statements are A and C.

If you want to learn more about expansions:

https://brainly.com/question/13602562

#SPJ2

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