 Rational Expressions – Product & Quotient PRODUCT STEPS : 1. Factor ( if needed ) 2. Simplify any common factors QUOTIENT STEPS : 1. Change the problem.

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Rational Expressions – Product & Quotient PRODUCT STEPS : 1. Factor ( if needed ) 2. Simplify any common factors QUOTIENT STEPS : 1. Change the problem from a division problem to a multiplication problem. To do this, keep your first fraction, change the division sign to multiplication, reciprocal ( flip ) the second fraction 2. Follow the PRODUCT steps

Rational Expressions – Product & Quotient EXAMPLE # 1 :

Rational Expressions – Product & Quotient EXAMPLE # 1 : When you have simple terms, I like to get all the numbers and variables grouped together…and when multiplying, order doesn’t matter, so line up any terms that can be cancelled…

Rational Expressions – Product & Quotient EXAMPLE # 1 : Remember your rules for dividing variables…subtract exponents

Rational Expressions – Product & Quotient EXAMPLE # 1 : EXAMPLE # 2 :

Rational Expressions – Product & Quotient EXAMPLE # 1 : EXAMPLE # 2 : Change the division problem to a multiplication problem…keep 1 st fraction, multiply, flip the 2 nd fraction…

Rational Expressions – Product & Quotient EXAMPLE # 1 : EXAMPLE # 2 : Simplify, cancel or divide constants / variables / expressions…multiply what is left in the numerator / denominator - 4 1

Rational Expressions – Product & Quotient EXAMPLE # 1 : EXAMPLE # 2 : - 4 1 Line up all expressions, constants, and variables. Then cancel / simplify…

Rational Expressions – Product & Quotient EXAMPLE # 3 :

Rational Expressions – Product & Quotient EXAMPLE # 3 : Factor…

Rational Expressions – Product & Quotient EXAMPLE # 3 : Cancel / simplify and then multiply numerators and denominators… - 5

Rational Expressions – Product & Quotient EXAMPLE # 4 :

Rational Expressions – Product & Quotient EXAMPLE # 4 : Change the division problem to a multiplication problem…

Rational Expressions – Product & Quotient EXAMPLE # 4 : Factor…

Rational Expressions – Product & Quotient EXAMPLE # 4 : Cancel / Simplify…

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