Rational Expressions 3 - Multiplication
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Lesson Summary:
In this lesson, we learn how to multiply and simplify algebraic rational expressions by first factoring the numerators and denominators. The key takeaway is that it is easier to factor and cancel before multiplying fractions. The lesson provides examples and walks through steps on how to factor and cancel, making it easy to understand and apply to any rational expression.
Lesson Description:
Examples of multiplying and simplifying algebraic rational expressions by first factoring the numerators and denominators in order to cancel factors to reduce.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- 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)?
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Staff Review
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.
