Rational Expressions 4 - Dividing
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Lesson Summary:
In this lesson on dividing rational expressions, the instructor demonstrates how to divide rational expressions by first multiplying by the reciprocal and then factoring the numerators and denominators to cancel factors to reduce them to a simplified form. Through examples, the instructor shows how to factor expressions and cancel common factors. Students are encouraged to use the laws of exponents and factorization to make the process simpler.
Lesson Description:
Examples of dividing rational expressions by first multiplying by the reciprocal, and then factoring the numerators and denominators in order to cancel factors to reduce the rational expression to a simplified form.
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Questions answered by this video:
- How do you divide and simplify rational expressions?
- How do you divide fractions?
- What is a/b divided by c/d?
- How do you divide ((12x^3y)/7)/((9x^2)/14y^3)?
- How do you factor, divide, and simplify complex rational expressions such as ((2x^2 - 3x - 20)/(2x^2 - 7x - 30))/((2x^2 - 5x - 12)/(4x^2 + 12x + 9))?
- How do you factor, divide, and simplify ((x - 3)/(2 - x))/((x^2 + 3x - 18)/(x^2 + 2x - 8))?
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Staff Review
This lesson picks up from the last one, but instead of multiplying complex rational expressions, we are now dividing them. It turns out that this is very similar to just multiplying rational expressions. Several good examples are shown step by step.
