3 years ago

FOIL the following binomials. (6x+5)(1x+6)

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

5 0

The trinomial that results from foiling the binomials is 6x^2+41x+30.

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forsale [732]

Train, planes, cars, and boats

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3 years ago

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

Oksana_A [137]

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

$\dbinom{22}4(-1)^{18}=\dbinom{22}4=\dfrac{22!}{4!(22-4)!}=7315$