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Lesson 88 Warm Up Pg. 576
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Multiplying and Dividing Rational Expressions
Algebra 1 Lesson 88 Multiplying and Dividing Rational Expressions
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Multiplying Rational Expressions
If a, b, c, and d are nonzero polynomials, a . c = ac b d bd
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Dividing Rational Expressions
If a, b, c, and d are nonzero polynomials, a ÷ c = a . d = ad b d b c bc
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Example 1 Find each product. 6x4y . 7x2y xy3 3x3y2 6x x y y2
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Example 2 Multiply (x2 – 2x – 15). Simplify the answer x – 15
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Example 3 Multiply 8m2n + 2mn Simplify m mn + 6n
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Example 4 Find each quotient. 5st4 ÷ 15s2t 4s2t 2s3t2
9r2 – 12r ÷ (3r – 4) x2 + 4x + 3 ÷ x x x
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Example 5 A business makes a profit of x x x dollars for each item sold. If x2 + 5x + 4 items are sold, what is the total profit in terms of x?
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Lesson 88 Homework Pg. 579 Practice, #1-10
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