These free video lessons with examples and solutions help Algebra students learn how to simplify algebraic rational expressions.
Simplifying Rational Expressions
Adding Rational Expressions
Subtracting Rational Expressions
Multiplying Rational Expressions
Dividing Rational Expressions
A rational expression is a fraction in which the numerator and/or the denominator are polynomials.
The following diagram shows how to simplify rational expressions. Scroll down the page for more examples and solutions on simplifying rational expressions.
In this lesson, we will look at simplifying rational expressions. A rational expression has been simplified or reduced to lowest terms if all common factors from the numerator and denominator have been canceled.
Simplify each of the following rational expressions:
Simplifying Rational Expressions - Level 1
(4x3 + 8x2)/2x
Simplifying Rational Expressions - Level 2
(7x2 + 28x)/(x2 + 8x + 16)
Simplifying Rational Expressions - Level 3
(4x2 + 4x + 1)/(2x3 + 11x2 + 5x)
How To Write Rational Expressions In Lowest Terms?
Step 1: Factor them
Step 2: Cancel to write in lowest terms
Give the domain of the expressions
a) (x + 2)/(x2 + 5x + 6)
b) (x2 + 2x - 15)/(x2 + x - 12)
Rational Expressions: Writing In Lowest Terms
How to reduce a rational expression involving a cubic polynomial and a quadratic polynomial?
(x3 + 1)/(x2 + 7x + 6)
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