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PART A. Notice that we have 
as a common factor in all the terms, so lets factor that out:
Now we need can factor
:
We can conclude that the complete factorization of is .
PART 2. Here we just have a quadratic expression of the form
. To factor it, we are going to find <span>two numbers that will multiply to be equal the </span>c<span>, and will also add up to equal </span><span>b. Those numbers are 2 and 2:
</span>
Since both factors are equal, we can factor the expression even more:
We can conclude that the complete factorization of
is 
.
PART C. Here we have a difference of squares. Notice that 4, can be written as
, so we can rewrite our expression:
Now we can factor our difference of squares like follows:
We can conclude that the complete factorization of
is 
Now we need can factor
We can conclude that the complete factorization of
PART 2. Here we just have a quadratic expression of the form
</span>
Since both factors are equal, we can factor the expression even more:
We can conclude that the complete factorization of
PART C. Here we have a difference of squares. Notice that 4, can be written as
Now we can factor our difference of squares like follows:
We can conclude that the complete factorization of
I think your teacher may have made a typo. Refer to the diagram below. If we ignore segment ZA for now, we can see a rectangle forms with angle W = angle Y = 90. Also, we can see that WX = 6 is the horizontal base and WZ = 8 is the vertical height.
However, the side opposite WZ (which is XY) should also be 8 cm tall, and not 6 cm. If XY was 6 cm, then point Y would move to where point A is located (and the quadrilateral would be WXAZ instead of WXYZ). This new quadrilateral would not have a 90 degree angle at point Y's new location.
In other words, if we want angle Y to be 90 degrees, then side XY must be 8 units long. I have a feeling this is where the typo is, but your teacher might have been intending to say something else.
The inverse of the function is f(x) = + 8
In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.
f(x) = ----> Switch f(x) and x
x = ----> Cube both sides
= f(x) - 8 ----> Add 8 to both sides
f(x) = + 8