Which expression is equivalent to 64 − 9x2?

(32)2 − (3x)2
(32)2 + (−3x)2
(8)2 − (3x)2
(8)2 + (−3x)2

Third option.

Step-by-step explanation:

By definition, the number 64 and the number 9 are perfect squares.

A perfect square it that number obtained by squaring a whole number.

In this case, 64 is obtained by squaring the number 8 and the number 9 is obtained by the squaring the number 3. Then:

Therefore, you can rewrite the expression as following:

This matches with the third option.

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! )