Rational Expressions operations.

Front

What is a rational expression?

Back

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

Front

What is the domain of a rational expression?

Back

The domain of a rational expression is the set of all real numbers except those that make the denominator zero.

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.

Tags

CCSS.HSA.APR.D.6

Front

What are excluded values in a rational expression?

Back

Excluded values are the values of the variable that make the denominator zero, rendering the expression undefined.

Tags

CCSS.HSA.APR.D.7

Front

Simplify: (m+6)/(m-3) * (m-3)/7

Back

(m+6)/7

Tags

CCSS.HSA.APR.D.6

Front

Multiply and simplify: (n-10)/(8) * (n+7)/(56)

Back

(n-10)/(8)

Tags

CCSS.HSA.APR.D.7

Front

What is the first step in adding rational expressions?

Back

The first step is to find a common denominator.

Tags

CCSS.HSA.APR.D.7

Front

What is the result of multiplying two rational expressions?

Back

To multiply two rational expressions, multiply the numerators together and the denominators together.

Tags

CCSS.HSA.APR.D.7

Front

Simplify: 4x³/(x+2) + 4x³/(x+10)

Back

(4x³(x+10) + 4x³(x+2))/((x+2)(x+10))

Tags

CCSS.HSA.APR.D.7

Front

What is the process for subtracting rational expressions?

Back

To subtract rational expressions, find a common denominator, rewrite each expression, and then subtract the numerators.

Tags

CCSS.HSA.APR.D.7