Multiplying Rational Expressions

Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

Front

How do you multiply two rational expressions?

Back

To multiply two rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Front

What is the first step in multiplying rational expressions?

Back

The first step is to factor any polynomials in the numerator and denominator.

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

Front

What is a common factor in rational expressions?

Back

A common factor is a number or variable that appears in both the numerator and the denominator.

Front

What is the importance of factoring in multiplying rational expressions?

Back

Factoring helps to identify and cancel common factors, making the multiplication process easier and the final expression simpler.

Front

Can you multiply rational expressions with different variables?

Back

Yes, you can multiply rational expressions with different variables as long as you follow the same multiplication rules.

Front

What is the result of multiplying (2/x) * (3/y)?

Back

The result is (6/xy).

Front

What happens if you multiply a rational expression by zero?

Back

The result will always be zero, regardless of the other expression.

Front

What is the rule for multiplying fractions?

Back

The rule is to multiply the numerators together and the denominators together.