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Sums and Differences of Rational Expressions Objective: to add and subtract rational expressions

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Rules for adding and subtracting fractions 1.Find the least common denominator (LCD) of the fractions (that is the least common multiple of the denominators.) 2.Express each fraction as an equivalent fraction with the LCD as the denominator 3.Add or subtract and then simplify.

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Examples Simplify 1.The LCM of 5 = 5 1 and 15 = 5 3 is multiplying by 1 will not change a number 3.

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Example with monomials Simplify 1.The LCM of 3x 2 y, 12x, and 8y 2 is 24x 2 y 2 3.

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Example with Polynomials Simplify 1.Factor 2.The LCM is (x + 3)(x – 3)(x – 1) 3.

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Be careful, its not done yet

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factor

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Try These! Simplify End Show

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Try These!

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