Always use each factor the greater number of times it appears in either factorization. \) We can add and subtract rational expressions in the same way we can add and subtract fractions. Examples with Solutions The common denominator will be (a 2) (a - 2). When adding and subtracting rational expressions, we find a common denominator and. Step 2: Put the sum or difference found in step 1 over the common denominator. Adding and subtracting rational expressions is similar to adding fractions. 1) u 5v 8v2u2 u 6v 8v2u2 11 8vu2 2) 5n 30 m 2m 4n 30 m 9n 2m 30 m 3) a 2b 6a3 5a 4b 6a3 2a b 3a3 4) x y 18 xy 6x y 18 xy 5 18 y 5) 4a 5 6a2 30 a a 1 6a2 30 a 5a 6 6a2 30 a 6) 5x 4 9x3 27. Adding or Subtracting Rational Expressions with Common Denominators Step 1: Combine the numerators together. Convert each of the rational expressions to this common denominator. In this lesson, we review addition and subtraction of fractions using the. We have to rewrite the fractions so they share a common denominator before we are able to add. Subtracting rational expressions: factored denominators. Add
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