What you will learn in this lesson In this lesson, you will practice simplifying more complicated rational expressions. Let's look at two examples, and then you can try some problems!

Learn how to simplify rational expressions, which are fractions with variable expressions in the numerator and denominator. This video also shows how to factor the expressions and cancel out …

A rational expression is a ratio of two polynomials. The domain of a rational expression includes all real numbers except those that make its denominator equal to zero.

In this lesson, you will practice adding and subtracting rational expressions with different denominators. You will use the least common denominator as your common denominator in these examples and …

Factor the numerator and the denominator of a rational expression using advanced methods, and cancel out common terms.

Simplifying rational expressions Learn Reducing rational expressions to lowest terms

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Now let's just simplify the rational expression. We've already said that x cannot be equal to negative 5/2 or negative 6, so let's just divide the numerator and the denominator by 2x plus 5. Or just looking at …

And so the best way to simplify this, whether we're dealing with expressions in the numerator or denominator, or just numbers, is we want to factor them and see if they have common factors and if …

We can multiply rational expressions in much the same way that we multiply numerical fractions — by factoring, canceling common factors, and multiplying across.