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Cerrena [4.2K]
3 years ago
10

What is the third term in the expansion of the binomial (2x 5)5?

Mathematics
1 answer:
Olin [163]3 years ago
6 0
Hello,
1
1  1
1  2 1
1  3 3 1
1  4 6 4 1
1 5 10 10 5 1

(2x+5)^5=1*(2x)^5+5*(2x)^4*5+10*(2x)^3*5^2+10*(2x)^2*5^3+5*(2x)*5^4+5^5

Third term is 10*8*x^3*25=2000 x^3
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Please help
Andreyy89

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Answer:

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Step-by-step explanation:

The slope of the line through the two points can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(-2 -2) = 4/-4 = -1

The point-slope equation for a line through point (h, k) with slope m is ...

  y -k = m(x -h)

You have (h, k) = (2, 1) and m = -1. Putting these values into the form gives ...

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<em>Additional comment</em>

Your problem statement already has two of the three values filled in, so you only need to enter the x-coordinate of the first point: 2.

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