Which expression is equivalent to (4b−3k)^3 in expanded form?

a.64b^3−48b^2k+36bk^2−27k^3

b.64b^3−48bk^2+36b^2k−27k^3

c.64b^3−144b^2k+108bk^2−27k^3

d.64b^3−144bk^2+108b^2k−27k^3

The answer to your question is 64b³ - 48b²k + 36bk² - 27k³                            

Step-by-step explanation:

                                            (4b - 3k)³

To solve this problem, use Newton's binomial theorem

For a binomial to the third power = 1   3   3   1

                (4b)³ + (4b)²(-3k) + (4b)(-3k)² + (-3k)³

Simplification

                64b³ + (16b²)(-3k) + (4b)(9k²) - 27k³

Result

                64b³ - 48b²k + 36bk² - 27k³                            

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.