9-5 day 1 adding and subtracting rational...
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95 Day 1 Adding and Subtracting Rational Expressions
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May 08, 2009
May 26:02 AM
95 Day 1 Adding and Subtracting Rational Expressions
Objective:Add and subtract rational expressions.
95 Day 1 Adding and Subtracting Rational Expressions
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May 26:03 AM
Check Skills You'll Need
Find the least common multiple (LCM) of the two numbers.
1. 7, 21 2. 6, 10 3. 11, 17 4. 30, 105
95 Day 1 Adding and Subtracting Rational Expressions
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May 26:05 AM
Activity: Adding Fractions Extended
1. Add. Simplify where possible.
a. b. c.
2. Explain the steps you followed in Question 1.
3. How is adding rational expressions similar to adding fractions?
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May 26:15 AM
Example #1: Finding Least Common Multiples
Find the least common multiple of 4x2 36 and 6x2 + 36x + 54.
Step 1 Find the prime factors of each expression.
4x2 36 = 4(x2 9) = 2(2)(x 3)(x + 3)
6x2 + 36x + 54 = 6(x2 + 6x + 9) = 2(3)(x + 3)(x + 3)
Step 2 Write each prime factor the greatest number of times it appears in either expression. Simplify where possible.
(2)(2)(3)(x 3)(x + 3)(x + 3) = 12(x 3)(x + 3)2
The least common multiple is 12(x 3)(x + 3)2.
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May 26:28 AM
Find the least common multiple of each pair of expressions.
a. 3x2 9x 30 and 6x + 30
b. 5x2 + 15x + 10 and 2x2 8
95 Day 1 Adding and Subtracting Rational Expressions
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Example #2: Adding Rational Expressions
Simplify .
Step 1 Factor the denominators.
Step 2 Find the common denominator and multiply.
Step 3 Add the fractions.
Step 4 Simplify the numerator.
95 Day 1 Adding and Subtracting Rational Expressions
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May 26:45 AM
Add .
95 Day 1 Adding and Subtracting Rational Expressions
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Example #3: Subtracting Rational Expressions
Simplify .
Step 1 Factor the denominators.
Step 2 Find the common denominator and multiply.
Step 3 Subtract the fractions.
Step 4 Simplify the numerator.
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May 26:50 AM
Simplify the expression.
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May 26:53 AM
Simplify the expression.
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HOMEWORK
p. 517 #420 even