1. Lesson 12.2 AIM: Simplifying Rational Expressions
Do Now: Factor the difference of squares.
4x2 - 25y4
(2x + 5y2)(2x - 5y2)

2. Do Now Complete the Pre Test that you picked up in front of the room.
You will have 10 minutes to complete the assessment.

3. Step 1: Factor the numerator.
x2 - 6x - 16
What pair of factors multiply to -16?
(2, -8) (-2, 8) (-4, 4) (-1, 16) (1, -16)
Which pair adds to -6?
(2, -8)
Correct Form
(x + 2)(x - 8)

4. Step 1: Factor the denominator.
x2 - 4
What is the square root of x2 and 4 ?
x and 2
Correct Form
(x + 2)(x - 2)

5. Cross out terms that are the same in the numerator and denominator.

6. Step 1: Factor the numerator.
x2 - 3x - 28
What pair of factors multiply to -28?
(2, -14) (-2, 14) (-4, 7) (4, -7) (1, -28) (-1, 28)
Which pair adds to -3?
(4, -7)
Correct Form
(x + 4)(x - 7)

7. Step 1: Factor the denominator.
x2 - 49
What is the square root of x2 and 49 ?
x and 7
Correct Form
(x + 7)(x - 7)

8. Cross out terms that are the same in the numerator and denominator.