Factor each of the following expressions. Note that sin2(x) is the notation that is used for (sin(x))2. Homework Help ✎
x2 – 4
y2 – 81
1 – x2
1 – sin2(x)
Remember that a difference of two squares has a special factoring pattern.
a² − b² = (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 x²).
Then use the same method as part (c) to factor it.