3 years ago

-3(-5z+12) (use the distributive property to write each expression as an equivalent expression)

Mathematics

1 answer:

Georgia [21]3 years ago

3 0

The answer to that is -15-36 hope that helps you with your problem.

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3 years ago

X+1 ^ 16 what is the coefficient of x^5

kirza4 [7]

Binomial theorem:

$(x+1)^{16}=\displaystyle\sum_{k=0}^{16}\dbinom{16}kx^{16-k}1^k=\sum_{k=0}^{16}\dbinom{16}kx^{16-k}$

The $x^5$ term corresponds with the term in the sum for which $16-k=5\implies k=11$ . For this $k$ , we get

$\dbinom{16}{11}x^{16-11}=\dbinom{16}{11}x^5$

So the coefficient you want to find is

$\dbinom{16}{11}=\dfrac{16!}{11!(16-11)!}=4368$

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