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