Embed Size (px)
DESCRIPTION
Citation preview
4.3 Adding and Subtracting Rational Expressions
1
April 05, 2013
4.3 Adding and Subtracting Rational Expressions
Evaluate the following:
4.3 Adding and Subtracting Rational Expressions
2
April 05, 2013
Steps to Adding or Subtracting Rational Expressions with COMMON denominators!
1. Add or subtract the numerators (common terms)
2. Write the answer as a rational expression with the new numerator over the common denominator!
3. Express restrictions
4.3 Adding and Subtracting Rational Expressions
3
April 05, 2013
E.g.
4.3 Adding and Subtracting Rational Expressions
4
April 05, 2013
E.g.
4.3 Adding and Subtracting Rational Expressions
5
April 05, 2013
4.3 Adding and Subtracting Rational Expressions
6
April 05, 2013
4.3 Adding and Subtracting Rational Expressions
7
April 05, 2013
Steps to Adding or Subtracting Rational Expressions with DIFFERENT denominators!
1. Find the Lowest Common Denominator (LCD)
2. Multiply the top and bottom of both fractions by the LCD; expand the top
3. Find common terms; add/subtract accordingly
4. Rewrite with the new numerator and denominator
5. Express restrictions
4.3 Adding and Subtracting Rational Expressions
8
April 05, 2013
The LCDThe LCD must contain the greatest number of any factor that appears in the denominator of either fraction. If a factor appears once in either or both denominators, include it only once. If a factor appears twice in any denominator, include it twice.
Begin by factoring the denominators. Find all the different terms (remember, a factor appearing twice in a single denominator counts as 2)
4.3 Adding and Subtracting Rational Expressions
9
April 05, 2013
E.g. Find the LCD for each of the following expressions
4.3 Adding and Subtracting Rational Expressions
10
April 05, 2013
4.3 Adding and Subtracting Rational Expressions
11
April 05, 2013
4.3 Adding and Subtracting Rational Expressions
12
April 05, 2013
4.3 Adding and Subtracting Rational Expressions
13
April 05, 2013
E.g. Simplify. Express your answers, in simplest form.
4.3 Adding and Subtracting Rational Expressions
14
April 05, 2013
E.g. Simplify. Express your answers, in simplest form.
4.3 Adding and Subtracting Rational Expressions
15
April 05, 2013
E.g. Simplify. Express your answers, in simplest form.
4.3 Adding and Subtracting Rational Expressions
16
April 05, 2013
4.3 Adding and Subtracting Rational Expressions
17
April 05, 2013
E.g. Simplify. Express your answers, in simplest form.
4.3 Adding and Subtracting Rational Expressions
18
April 05, 2013
Homeworkp336#1, 6, 7abd
