### Concept (1)

Multiplying rational expressions is basically two simplifying problems put together. When multiplying rationals, factor both numerators and denominators and identify equivalents of one to cancel. Dividing rational expressions is the same as multiplying with one additional step: we take the reciprocal of the second fraction and change the division to multiplication.

### Sample Problems (10)

Need help with "Multiplying and Dividing Rationals" problems? Watch expert teachers solve similar problems to develop your skills.

 3xy² ⋅ 4x³z 10y³ x³z³
###### Problem 1
How to multiply rational expressions that are monomials.

 x + 3 (5x² + 10x) 5x²
###### Problem 2
How to multiply a rational expression by a polynomial.

 m² + 5m + 6 ⋅ m² − 2m − 3 m − 3 m² + 3m + 2
###### Problem 3
How to multiply two rational expressions.
###### Problem 5
Reducing monomial rational expressions first, then multiply.
###### Problem 7
Multiplying rational expressions involving negative exponents.
###### Problem 8
Using opposite binomials to factor and multiply rational expressions.
###### Problem 9
Addressing common reducing errors when multiplying rational expressions.
###### Problem 10
Multiplying a fraction with a polynomial times a polynomial.
###### Problem 11
Simplifying "double fractions," or quotients of fractions.