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ehidna [41]
3 years ago
7

Calculate the coefficient of x4y18 in the expansion of (x − y)22

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0
Binomial theorem:

(x-y)^n=\displaystyle\sum_{k=0}^n\binom nkx^k(-y)^{n-k}

The term with x^4y^{18} corresponds to n=18+4=22 and k=4 (or k=18, since \dbinom nk=\dbinom n{n-k}).

So, the coefficient of this term is

\dbinom{22}4(-1)^{18}=\dbinom{22}4=\dfrac{22!}{4!(22-4)!}=7315
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7 0
1 year ago
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Answer:

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Step-by-step explanation:

The correct answer is:

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Explanation

review

△WXY~△GEF.

6

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F

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Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

If two triangles are similar, their similarity ratio is the ratio between a side length in the first triangle and the corresponding side length in the second triangle.

solve

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The similarity ratio of △WXY to △GEF is the ratio between a side length in △WXY and the corresponding side length in △GEF. So, the similarity ratio is  

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3 years ago
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Nuetrik [128]

Answer:

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