Simplify, Multiply, and Divide Rational Expressions

Front

What is a rational expression?

Back

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

Front

How do you simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Front

What is the first step in multiplying rational expressions?

Back

The first step is to factor all numerators and denominators.

Front

What is the rule for multiplying rational expressions?

Back

Multiply the numerators together and the denominators together.

Front

How do you divide rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the divisor.

Front

What is the formula for multiplying two rational expressions?

Back

If A/B and C/D are two rational expressions, then (A/B) * (C/D) = (A*C)/(B*D).

Front

What does it mean to find the least common denominator (LCD)?

Back

The least common denominator is the smallest expression that can be used as a common denominator for two or more rational expressions.

Front

How do you add or subtract rational expressions?

Back

To add or subtract rational expressions, first find a common denominator, then combine the numerators.

Front

What is the importance of factoring in simplifying rational expressions?

Back

Factoring allows you to identify and cancel common factors, simplifying the expression.

Front

What is an example of a rational expression that can be simplified?

Back

(2x^2)/(4x) can be simplified to (x/2) by canceling the common factor of 2x.