Simplify, Multiply, Divide 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 simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel out 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

What is the result of (x^2 - 1)/(x + 1) when simplified?

Back

The result is x - 1 after factoring and canceling the common factor (x + 1).

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

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

Back

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

Front

What is the importance of factoring in rational expressions?

Back

Factoring is crucial for simplifying, multiplying, and dividing rational expressions.

Front

What happens if you divide by zero in rational expressions?

Back

Dividing by zero is undefined, and it makes the expression invalid.