Simplify the expression Warm-up Simplify the expression

How can we use our factoring skills to multiply rational expressions? Math I 11-3-11 UNIT QUESTION: How do we perform the four basic operations on rational expressions? Standard: MM1A2 Today’s Question: How can we use our factoring skills to multiply rational expressions? Standard: MM1A2e

How do you multiply fractions?

How do you multiply fractions?

3.9 Multiply and Divide Rational Expressions

Multiplying Rationals Protect binomials (and higher) with parenthesis and FACTOR Simplify out factors on TOP with common factors on BOTTOM Then, multiply across the top and across the bottom Simplify again, if possible

From the notes: Write the product in simplest form.

What’s the area of the rectangle in terms of x and in simplest form? Geometry Link What’s the area of the rectangle in terms of x and in simplest form?

Dividing Rational Expressions

Dividing Rationals First ratio stays the same Change the division sign to multiplication Flip the 2nd ratio Repeat the same steps you did for multiplication Simplify again, if possible

From the notes: Stay, change, flip

Write the quotient in simplest form. Stay, change, flip

Example from the notes Stay, change, flip

Example from the notes Stay, change, flip