Simplify: 7 𝑥 2 +7𝑥−42 2𝑥 2 +18𝑥+36 𝑦 2 −12𝑦 24−2𝑦 14 𝑓 5 9𝑎 2 ÷ 35 𝑓 3 18𝑎 Problem of the Day

Section 8-1b Multiplying and Dividing Rational Expressions

Then Now Objectives You simplified rational expressions. Multiply and divide rational expressions. Simplify complex fractions.

Common Core State Standards Content Standards A.APR.7 – Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. Mathematical Practices 8) Look for and express regularity in repeated reasoning. Common Core State Standards

Simplify the expression. 4𝑥−20 𝑥 2 +2𝑥−35 ∙ 𝑥 2 −7𝑥+10 4𝑥 2 −16 Example 5

Simplify the expression. 𝑥 2 −9𝑥+20 𝑥 2 +10𝑥+21 ÷ 𝑥 2 −𝑥−12 6𝑥+42 Example 5

Simplify each expression Example 5

Complex Fraction: a rational expression with a numerator and/or denominator that is also a rational expression. Vocabulary

Simplify the expression. (𝑥−2) 2 2( 𝑥 2 −5𝑥+4) 𝑥 2 −4 2𝑥−10 Example 6

Simplify the expression. 4𝑥 𝑥+6 𝑥 2 −3𝑥 𝑥 2 +3𝑥−18 Example 6

p.534 #31 – 36, 60, 81 – 83 Homework