Adding and Subtracting Rational Expressions

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Presentation transcript:

Adding and Subtracting Rational Expressions Essential Questions How do we add and subtract rational expressions? How do we simplify complex fractions? Holt McDougal Algebra 2 Holt Algebra 2

Example 1: Add and Subtract Rational Expressions Add. Identify any x-values for which the expression is undefined. x x + 2 + –8 x2 – 4 Factor the denominators. The LCD is (x + 2)(x – 2). Rewrite as one fraction. Factor the numerator. Undefined at x = –2 and x = 2

Example 2: Add and Subtract Rational Expressions Subtract. Identify any x-values for which the expression is undefined. - + + Change the signs for subtraction. Factor the denominators. The LCD is (x + 1)(x - 1). Rewrite as one fraction. Simplify the numerator. Factor the numerator. Undefined at x = –1 and x = 1

Example 3: Add and Subtract Rational Expressions Subtract. Identify any x-values for which the expression is undefined. - + Change the signs for subtraction. Treat like a mixed number Rewrite as one fraction. Simplify the numerator. Undefined at x = –5

Example 4: Add and Subtract Rational Expressions Subtract. Identify any x-values for which the expression is undefined. - + Change the signs for subtraction. + Treat like a mixed number Rewrite as one fraction. Simplify the numerator. Factor the numerator. Undefined at x = 3

Lesson 6.3 Practice C