### Home > INT3 > Chapter 12 > Lesson 12.1.1 > Problem 12-6

12-6.

Factor each of the following expressions. Note that sin

^{2}(*x*) is the notation that is used for (sin(*x*))^{2}. Homework Help ✎*x*^{2}– 4*y*^{2}– 811 –

*x*^{2}1 – sin

^{2}(*x*)

Remember that a difference of two squares has a special factoring pattern. *a*² − *b*² = (*a* − *b*)(*a* + *b*).

(*x* + 2)(*x* − 2)

Use the same method as part (a).

This might look different than the expressions in parts (a) and (b), but you can use the same method to factor it.

(1 − *x*)(1 + *x*)

Think of sin² (*x*) as one big variable (like *x*²).

Then use the same method as part (c) to factor it.