From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is

, and

.
There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.
That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are

and

. The difference of those two cubes is:

In our problem, a = 4 (since

= 64) and b = y (since

. Plug these values into the rule to find the factor of

:

-----
Answer:
Answer:
The auditing book is not accurate
Step-by-step explanation:
25($12.5)+50($8)+125($10)+= $1,925
$312.5 + $400 + $1,250 = $1,925
$1,962.5 not= to $1,925
14+5= 19; 19-8=11. the hotel elevator is now on the 11th floor
According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
<h3>What is the average rate of change?</h3>
The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u>
In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
You can learn more about average rate of change at brainly.com/question/26420851