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Adding/Subtracting Rational Expressions (like denominators)

Adding/Subtracting Rational Expressions (like denominators). Rewrite the numerators over the common denominator. Combine like terms (distribute the -1 if subtracting). Factor if necessary. Simplify if necessary. Finding the LCM/LCD. Define the prime factors of each expression.

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Adding/Subtracting Rational Expressions (like denominators)

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  1. Adding/Subtracting Rational Expressions (like denominators) Rewrite the numerators over the common denominator Combine like terms (distribute the -1 if subtracting) Factor if necessary Simplify if necessary

  2. Finding the LCM/LCD Define the prime factors of each expression Form the LCM/LCD using each factor the greatest number of times it appears in step 1 Multiply to find the LCM/LCD 8x2y2 = 2 • 2 • 2 • x • x • y • y 2 • 2 • 3 • x • y • y • y 12xy3 = LCM = 2 • 2 • 2 • 3 • x • x • y • y • y = 24x2y3

  3. Adding/Subtracting Rational Expressions (unlike denominators) Define the common denominator Rewrite the numerators over the common denominator Combine like terms (distribute the -1 if subtracting) Factor if necessary Simplify if necessary

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