12-3/12-4 Multiplying/Dividing Rational Expressions

SWBAT:• Multiply/Divide Rational Expressions• Use Dimensional Analysis with Multiplication

Multiplying Rational Expressions

• To multiply Rational Expressions simply think back to Multiplying Fractions.

• Remember we multiplied numerators and multiplied denominators.

Multiplying Rational Expressions

• We can also cross cancel…

5

1

2

1

Multiplying Rational Expressions

• We can use either method to Multiply Rational Expressions…

Multiplying Rational Expressions

• We can use either method to Multiply Rational Expressions…

1

3

2

1

1

a

b2

11

c

Try Some More…

1. Find the Product 2. Find the Product

Multiply Expressions with Polynomials

• Sometimes you must factor quadratic expressions before you can simplify a product of rational expressions

Expressions with Polynomials

• Find

x

FACTOR!

Clear Common Factors!

Simplify

Try Some More…

1. Find:

2. Find:

Dividing Rational Expressions

• Remember dividing rational numbers expressed as fractions?

• Instead of dividing, we multiply by the reciprocal of the Divisor.

• Use the Same Process to Divide Rational Expressions.

Example 1: Dividing Expressions with Monomials• Find the Quotient:

Instead of Dividing, Multiply by the reciprocal of the Divisor!

• Find the Quotient:

Try Another: Dividing Expressions with Monomials

Example 2: Dividing Expressions with Binomials• Find the Quotient:

Instead of Dividing, Multiply by the reciprocal of the Divisor!

Try Another: Dividing Expressions with Binomials• Find the Quotient:

Example 3: Dividing by a Binomials

• Find the Quotient:

Try Another: Dividing by a Binomials

• Find the Quotient:

Example 3: Expressions w/ Polynomials

• Find the Quotient:

Try Another: Expressions w/ Polynomials

• Find the Quotient: