Simplify 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 multiply rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.7

Front

What is the process for subtracting rational expressions with a common denominator?

Back

To subtract rational expressions with a common denominator, subtract the numerators and keep the common denominator.

Tags

CCSS.HSA.APR.D.7

Front

What are the steps to simplify a rational expression?

Back

1. Factor the numerator and denominator. 2. Cancel any common factors. 3. Rewrite the expression.

Tags

CCSS.HSA.APR.D.6

Front

What does it mean for a rational expression to be undefined?

Back

A rational expression is undefined when its denominator equals zero.

Tags

CCSS.HSA.APR.D.7

Front

How do you find the values that make a rational expression undefined?

Back

Set the denominator equal to zero and solve for the variable.

Tags

CCSS.HSA.APR.D.7

Front

What is the least common denominator (LCD) and why is it important?

Back

The least common denominator is the smallest multiple of the denominators of the rational expressions involved, used to combine or compare them.

Tags

CCSS.HSA.APR.D.7

Front

How do you add rational expressions with different denominators?

Back

To add rational expressions with different denominators, find the least common denominator, rewrite each expression with the LCD, then add the numerators.

Tags

CCSS.HSA.APR.D.7

Front

What is the formula for dividing rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.6

Front

What is the significance of factoring in simplifying rational expressions?

Back

Factoring helps identify and cancel common factors in the numerator and denominator, simplifying the expression.

Tags

CCSS.HSA.APR.D.6