Problem 89
Question
Explain how to multiply rational expressions.
Step-by-Step Solution
Verified Answer
Multiplying rational expressions involves simplifying the expressions before multiplication, performing the multiplication like in fractions by multiplying numerators together and denominators together, and simplifying the final result if possible by removing common factors from the numerator and denominator.
1Step 1: Simplify the Rational Expressions
First step in multiplying rational expressions requires simplifying each of the rational expressions individually -if possible-. This can be done by factoring the polynomials in the numerator and the denominator.
2Step 2: Perform the Multiplication
Multiplying rational expressions is the same as multiplying fractions. To multiply two fractions, multiply the numerators together for the new numerator, and the denominators together for the new denominator. Do the same for the rational expressions.
3Step 3: Simplify the Result
After the multiplication has been performed, the new rational expression may be able to be simplified further. Like with numbers, if the numerator and the denominator of the fraction have common factors, they can be divided to simplify the expression
Other exercises in this chapter
Problem 88
Simplify each algebraic expression. $$2(5 x-1)+14 x$$
View solution Problem 89
Factor completely, or state that the polynomial is prime. $$x^{2} y-16 y+32-2 x^{2}$$
View solution Problem 89
Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two d
View solution Problem 89
Perform the indicated operation or operations. $$\frac{(2 x-7)^{5}}{(2 x-7)^{3}}$$
View solution