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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
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# Subtracting Rational Expressions with the Same Denominator

Subtracting rational expressions with the same denominator is like subtracting fractions with the same denominator.

Procedure â€” To Subtract Rational Expressions with the Same Denominator

Step 1 Subtract the numerators. Write the difference as the numerator over the common denominator.

Step 2 Reduce to lowest terms.

Note:

Hereâ€™s an example of subtracting fractions:

Subtract and write the answer in lowest terms: The denominators are the same.

Subtract the numerators and write the difference over the common denominator, 6. To reduce, cancel the common factor, 2, in the numerator and denominator. Thus, Example 1

Find: Solution

 The denominators are the same. Step 1 Subtract the numerators. Write the difference as the numerator over the common denominator. Combine the like terms in the numerator. Step 2 Reduce to lowest terms. First, factor the numerator and denominator. There are no common factors to cancel. Thus, Example 2

Find: Solution

 The denominators are the same. Step 1 Subtract the numerators. Write the difference as the numerator over the common denominator. Combine the like terms in the numerator. Step 2 Reduce to lowest terms. First, factor the numerator and denominator. Next, cancel the common factor, x + 1. Thus, 