J_Section 7.4_Addition and Subtraction of Rational Expressions - Name Date Section 7.4 Addition and Subtraction of Rational Expressions Adding and

J_Section 7.4_Addition and Subtraction of Rational Expressions

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Name: ________________________________________ Date: _________________________ Section 7.4 Addition and Subtraction of Rational Expressions Adding and Subtracting Rational Expressions with Common Denominators: Recall that to add/subtract rational numbers, you add/sub the numerators and keep the same denominator. That is, ? ? + ? ? = ?+? ? ? ? ? ? = ?−? ? Example 1 : Add. Write the answer in simplified form. 3 40 + 1 40 We will use the same concepts as above for adding and subtracting rational expressions. Steps for Adding/Subtracting Rational Expressions with Common Denominators: 1. Add or subtract the numerators. Note: When subtracting, be sure to distribute the negative to all the terms in the second polynomial. 2. Keep the same denominator. 3. Simplify the final answer, if possible. (i.e., factor the numerator and denominator to cancel out any like factors.) Example 2 : Add. Write the answer in simplified form. 6𝑑 10𝑑 + 20 + 12 10𝑑 + 20
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You Try : Subtract. Write the answer in simplified form. 𝑝 2 𝑝 − 3 6𝑝 − 9 𝑝 − 3 Adding and Subtracting Rational Expressions with Different Denominators:
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