## Rational Expressions 3 - Multiplication

Rational Expressions 3 - Multiplication
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Part of video series Rational Expressions
Taught by YourMathGal

### Meets NCTM Standards:

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Examples of multiplying and simplifying algebraic rational expressions by first factoring the numerators and denominators in order to cancel factors to reduce.

• How do you multiply complicated rational expressions?
• How do you multiply and simplify (8x - 12)/(14x + 7)*(42x + 21)/(32x - 48)?
• How can you factor and simplify two fractions that each are made up of trinomials?
• How do you factor, multiply, and simplify (x^2 + 4x - 21)/(x^2 + 3x - 28)*(x^2 + x - 20)/(x^2 + 2x - 15)?
• How do you factor, multiply, and simplify (x^2 - y^2)/(3x^2 + 3xy)*(3x^2 + 6x)/(3x^2 - 2xy - y^2)?
• Why do you have to factor rational expressions before canceling terms?
• How do you factor, multiply, and simplify (9x + 18)/(4x^2 - 3x)*(4x^2 - 11x + 6)/(x^2 - 4)?
These problems require factoring of many different terms and canceling common factors in order to multiply and simplify these complex rational expressions. All steps of these good example problems are shown very clearly so you can easily follow along.
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Reviewed by MathVids Staff on October 04, 2009.  