Multiplying and Dividing 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 dividing rational expressions?

Back

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

Front

What does it mean to multiply rational expressions?

Back

Multiplying rational expressions involves multiplying the numerators together and the denominators together.

Front

How do you find the least common denominator (LCD) for rational expressions?

Back

The LCD is found by taking the least common multiple of the denominators.

Front

What is the result of multiplying (x+2)/(x+3) by (x+4)/(x+5)?

Back

The result is (x+2)(x+4)/((x+3)(x+5)).

Front

What is the result of dividing (3x + 12) by (x + 4)?

Back

The result is 3.

Front

What is the importance of factoring in rational expressions?

Back

Factoring helps to simplify expressions and identify common factors that can be canceled.

Front

What is a common mistake when dividing rational expressions?

Back

A common mistake is forgetting to multiply by the reciprocal of the divisor.