1. Simplifying Rational Expressions
(Hint:Do you see anything you can factor?)
x2 + 5x + 6
x + 2
= (x+2)(x+3)
= x+3

2. Simplifying Rational Expressions
b) 2x2 + 7x + 6
x + 2
= (2x+3)(x+2)
= x+3

3. Simplifying Rational Expressions
c) 2x2 + 8x + 8
x + 2
= 2(x2 + 4x +4)
= 2(x + 2)(x + 2)
= 2(x + 2)

4. Simplifying Rational Expressions
d) 2x6 – 14x3
2x3
= 2x3 (x3 – 7)
= x3 – 7 OR
since 2x6 / 2x3 = x3
and 14x3 / 2x3 = 7
= x3 – 7

5. Simplifying Rational Expressions
1. x2 + 3x - 54
x + 9
2. 2x2 + 5x - 12
2x – 3
3. 5x2 + 55x + 150
x + 5
x -21
5x – 3
5. x2 + 14x + 48
x + 6
6. x2 -12x +32
x - 8
Answers
X - 6
X + 4
5(x + 6) 7
X + 8
X - 4