Part a: factor x2b2 − xb2 − 6b2. show your work. (4 points) part b: factor x2 + 4x + 4. show your work. (3 points) part c: factor x2 − 4. show your work. (3 points) im not the best with math

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 two numbers that will multiply to be equal the c, and will also add up to equal b. Those numbers are 2 and 2:

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