A.3c Rational Expressions
We ourselves feel that what we are doing is just a drop in
the ocean. But the ocean would be less because of that
missing drop. -Mother Teresa

Simplifying Rational Expressions
Now that we know how to factor, we can use it to
simplify rational expressions!
Rational Expression: the quotient of two polynomials
2
x
Ex. 2  4
x  x 6
Products of Rational Expressions
Recall: When we multiply fractions, we multiply numerators
and multiply denominators
x 2  2x  1 4 x 2  4
 2
3
x x
x  x 2
Products of Rational Expressions
Now you try!

x 2  7x  8 x 3  x 2
 2
4
3
4 x  32x
x 1
Adding/Subtraction Rational Expressions
Add the following rational expressions. Leave your answer in
factored form.
1
x
x2


x4
Adding/Subtraction Rational Expressions
Add the following rational expressions. Leave your answer in
factored form.
x
2x  3
 2
2
x  3x  2 x 1

Adding/Subtraction Rational Expressions
Want one to try? Okay!

2x 1
x
 2
2
x  x  6 x  3x
A.3c Rational Expressions
Homework #3:
Page 976
#57 - 77 EOO
We ourselves feel that what we are doing is just a drop in
the ocean. But the ocean would be less because of that
missing drop. -Mother Teresa