## Intermediate Algebra: Connecting Concepts through Application

3(r$^2$+4)(r+2)(r-2)
3r$^2$-48 3(r$^4$-16) Inside the parentheses is a difference of squares. If a represents the square root of the first term and b is the square root of the second term, then the factorization is (a+b)(a-b). $\sqrt {r^4}$=r$^2$ and $\sqrt {16}$=4. So the factorization is 3(r$^2$+4)(r$^2$-4). Inside the second set of parentheses is yet another difference of squares, it is factored the same way. $\sqrt {r^2}$=r and $\sqrt {4}$=2. So the factorization is 3(r$^2$+4)(r+2)(r-2).