Multiplying & Dividing 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 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 first step in dividing rational expressions?

Back

The first step is to multiply by the reciprocal of the divisor.

Tags

CCSS.HSA.APR.D.6

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

Tags

CCSS.HSA.APR.D.6

Front

What is the formula for multiplying two binomials?

Back

(a + b)(c + d) = ac + ad + bc + bd.

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CCSS.HSA.APR.A.1

Front

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

Back

The LCD is found by taking the highest power of each factor present in the denominators.

Tags

CCSS.HSA.APR.D.7

Front

What is the result of dividing (x^2 - 1) by (x - 1)?

Back

The result is (x + 1), since (x^2 - 1) factors to (x - 1)(x + 1).

Tags

CCSS.HSA.APR.D.6

Front

What is the importance of factoring in multiplying and dividing rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.6

Front

What is the result of multiplying (2/x) by (3/x^2)?

Back

The result is (6/x^3).

Tags

CCSS.HSA.APR.D.7

Front

What is a common mistake when dividing rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.6