I don't understand how to multiply rational expressions. My math book isn't helping at all.
http://www.khanacademy.org/math/algebra2/rational-expressions/multi-div-rational-exp/v/multiplying-and-dividing-rational-expressions-1
Multiplying rational expressions involves multiplying both the numerators and the denominators of the expressions separately. To better understand this process, let's break it down into steps:
Step 1: Simplify the expressions (if possible)
Before multiplying, simplify both the numerators and the denominators of the rational expressions as much as possible. This may involve factoring, canceling out common factors, or simplifying complex fractions.
Step 2: Multiply the numerators
First, multiply the numerators of the expressions together. This operation is similar to multiplying any other algebraic expressions. Multiply the coefficients (numbers) and the variables (if any) using the properties of multiplication. Remember to apply the rules for multiplying variables (e.g., multiplying exponents).
Step 3: Multiply the denominators
Similarly, multiply the denominators of the expressions together using the same principles as in step 2. Again, multiply the coefficients and the variables, making sure to follow the rules for multiplying variables.
Step 4: Simplify the result (if possible)
Once the numerators and denominators are multiplied, simplify the expression obtained in step 3 by canceling out common factors or simplifying fractions, if there are any.
Step 5: Write the simplified result
Finally, write the simplified expression obtained in step 4 as the product of the rational expressions.
Remember to always check if there are any restrictions on the variables (such as values that make the denominators equal to zero) and simplify the final result whenever possible.
I hope these steps help you understand how to multiply rational expressions. If you have a specific example you are struggling with, feel free to provide it, and I will guide you through the process!