4.3 Adding & Subtracting Rational Expressions

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4.3 Adding and Subtracting Rational Expressions

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4.3 Adding and Subtracting Rational Expressions

Evaluate the following:

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Steps to Adding or Subtracting Rational Expressions with COMMON denominators!

1. Add or subtract the numerators (common terms)

2. Write the answer as a rational expression with the new numerator over the common denominator!

3. Express restrictions

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E.g.

4.3 Adding and Subtracting Rational Expressions

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E.g.

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Steps to Adding or Subtracting Rational Expressions with DIFFERENT denominators!

1. Find the Lowest Common Denominator (LCD)

2. Multiply the top and bottom of both fractions by the LCD; expand the top

3. Find common terms; add/subtract accordingly

4. Rewrite with the new numerator and denominator

5. Express restrictions

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The LCDThe LCD must contain the greatest number of any factor that appears in the denominator of either fraction. If a factor appears once in either or both denominators, include it only once. If a factor appears twice in any denominator, include it twice.

Begin by factoring the denominators. Find all the different terms (remember, a factor appearing twice in a single denominator counts as 2)

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E.g. Find the LCD for each of the following expressions

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E.g. Simplify. Express your answers, in simplest form.

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E.g. Simplify. Express your answers, in simplest form.

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E.g. Simplify. Express your answers, in simplest form.

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E.g. Simplify. Express your answers, in simplest form.

­

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Homeworkp336#1, 6, 7abd

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