Lesson 88 Warm Up Pg. 576.

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Presentation transcript:

Lesson 88 Warm Up Pg. 576

Multiplying and Dividing Rational Expressions Algebra 1 Lesson 88 Multiplying and Dividing Rational Expressions

Multiplying Rational Expressions If a, b, c, and d are nonzero polynomials, a . c = ac b d bd

Dividing Rational Expressions If a, b, c, and d are nonzero polynomials, a ÷ c = a . d = ad b d b c bc

Example 1 Find each product. 6x4y . 7x2y2 21xy3 3x3y2 6x2 . 3x 5y4 7y2

Example 2 Multiply 9 . (x2 – 2x – 15). Simplify the answer. 3x – 15

Example 3 Multiply 8m2n + 2mn . 15 Simplify. 2m 24mn + 6n

Example 4 Find each quotient. 5st4 ÷ 15s2t 4s2t 2s3t2 9r2 – 12r ÷ (3r – 4) 27 x2 + 4x + 3 ÷ x + 3 x2 x

Example 5 A business makes a profit of x4 100x2 + 100x dollars for each item sold. If x2 + 5x + 4 items are sold, what is the total profit in terms of x?

Lesson 88 Homework Pg. 579 Practice, #1-10