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ad-work [718]
3 years ago
11

What is the coefficient of x^4y^4 in the expansion (x+y)^8?

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

  C.  70

Step-by-step explanation:

In the expansion of (a + b)^n, the k-th term is ...

  nCk·a^(n-k)b^k . . . . . k = 0 to n; nCk = n!/(k!(n-k)!)

Here, we have n=8, k=4, so the term of interest is ...

  8C4·x^4y^4 = (8·7·6·5)/(4·3·2·1)x^4y^4 = 70x^4y^4

The coefficient of the term is 70.

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In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .
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<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

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<h2>2.  x-intercepts</h2>

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To find the other x-intercept, we must set y=0 as follows:

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