Rational Expressions 7
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Lesson Summary:
In this lesson on rational expressions, we learn more about adding and subtracting rational expressions with a common denominator. We also learn how to simplify by factoring and canceling. By combining like terms, writing expressions in descending order, and factoring both the numerator and denominator, we can simplify expressions and see if anything cancels. With practice, we can gain a better understanding of how to work with rational expressions and simplify them efficiently.
Lesson Description:
More practice adding and subtracting rational expressions that already have a common denominator, and how to simplify if it is possible to cancel.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you add an subtract rational expressions with common denominators?
- How do you add and simplify (9x - 14)/(x^2 + 10x + 21) + (x^2 - 4x)/(x^2 + 10x + 21)?
- How do you factor so you can you simplify or cancel terms in (x^2 + 5x - 14)/(x^2 + 10x + 21)?
- How do you subtract and simplify (x^2 + 8x)/(x^2 + 10x + 21) - (3x + 14)/(x^2 + 10x + 21)?
- How do you subtract and simplify (x^2 + 3x - 25)/(x^2 - x - 20) - 3x/(x^2 - x - 20)?
- How do you factor so you can you simplify or cancel terms in (x^2 - 25)/(x^2 - x - 20)?
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Staff Review
This lesson goes through some more complicated examples of adding and subtracting rational expressions with common denominators and then simplifying the result. All steps for each video are explained and shown clearly in the video. This is good practice for learning to add and subtract polynomials, factor, and simplify rational expressions.
