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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Adding and Subtracting Rational Expressions with Different Denominators

Example

Find:

Solution

 Step 1 Find the LCD. Factor each denominator. The LCD is (x - 1)(x + 3). Step 2 Rewrite each rational expression with the LCD as the denominator.The denominator of the first fraction is already the LCD. The denominator of the second fraction needs another factor, (x - 1). Step 3 Add (or subtract) the numerators. The denominator stays the same. Add the numerators. Distribute the 4. Combine like terms. Step 4 Reduce to lowest terms. Factor the numerator. Cancel the common factor, (x + 3).

So,