Adding & Subtracting 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 add rational expressions with the same denominator?

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What is the first step in adding rational expressions with different denominators?

Back

The first step is to find a common denominator for the rational expressions.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions.

Front

How do you subtract rational expressions?

Back

Front

What is the formula for adding two rational expressions?

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Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by factoring and canceling common factors.

Front

What is the importance of excluding certain values in rational expressions?

Back

Excluding certain values (like where the denominator equals zero) is important because these values make the expression undefined.

Front

How do you find the least common denominator (LCD) of two fractions?

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To find the least common denominator, identify the least common multiple (LCM) of the denominators.

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The result is @@rac{4x-6}{4x-7}, ext{ where } x e rac{7}{4}@@.