A rational expression is a mathematical expression that contains fractions with variables in the numerator and/or denominator. It can also include whole numbers, but the key characteristic is that it contains at least one variable.
To multiply rational expressions, first factor each expression completely. Then, look for any common factors between the numerators and denominators and cancel them out. Finally, multiply the remaining factors in the numerator and denominator to get the simplified product.
If the rational expressions have different denominators, you will need to first find the least common multiple (LCM) of the denominators. Then, rewrite each expression with the LCM as the new denominator. After that, you can follow the same steps for multiplying rational expressions as mentioned above.
Yes, the resulting product of multiplying rational expressions can usually be simplified further. Look for any common factors in the numerator and denominator and cancel them out. If the resulting product is still a fraction, it is considered to be in simplest form.
Yes, there are a few special cases to consider when multiplying rational expressions. One is when one or both expressions have a variable in the denominator. In this case, you will need to factor out the variable and make sure to include it in the resulting product. Another special case is when one or both expressions have a negative sign in front. In this case, make sure to distribute the negative sign when simplifying the resulting product.