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Perform the indicated opeeation |
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Answer» Perform the indicated operation. See Examples.Example Adding RATIONAL EXPRESSIONS (Same Denominator)Add. Write each answer in lowest terms.The denominators are the same, so the sum is found by adding the two numerators and keeping the same (common) denominator.Example Adding Rational Expressions (Different Denominators)Add. Write each answer in lowest terms.(a)(b)Step 1 Find the LCD, USING the methods of the previous section.Step 2 Write each rational EXPRESSION as a FRACTION with the LCD (60 and 12y, respectively) as the denominator.Step 3 Add the numerators. The LCD is the denominator.Step 4 Write in lowest terms if necessary.Example Adding Rational ExpressionsAdd. Write the answer in lowest terms.Step 1 The denominators are different, so find the LCD.Step 2 Write each rational expression with the LCD as the denominator.Example Adding Rational ExpressionsAdd. Write the answer in lowest terms.The numerator cannot be factored here, so the expression is in lowest terms.ExampleAdding Rational Expressions (Denominators Are Opposites)Add. Write the answer in lowest terms.The denominators are opposites. Use the process of multiplying one of the fractions by 1 in the form to obtain the same denominator for both fractions.EXAMPLE 6Example Subtracting Rational Expressions (Same Denominator)Subtract. Write the answer in lowest terms.EXAMPLE 7Example Subtracting Rational Expressions (Different Denominators)Subtract. Write the answer in lowest terms.EXAMPLE 8Example Subtracting Rational Expressions (Denominators Are Opposites)Subtract. Write the answer in lowest terms.EXAMPLE 9Example Subtracting Rational ExpressionsSubtract. Write the answer in lowest terms.Example Subtracting Rational ExpressionsSubtract. Write the answer in lowest terms.The numerator cannot be factored, so the final answer is in lowest terms. |
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