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  • Adding 3x−3+2x−2\frac{3}{x-3} + \frac{2}{x-2}x−33​+x−22​

Multiple Choice

Why is 5x−12(x−3)(x−2)\frac{5x-12}{(x-3)(x-2)}(x−3)(x−2)5x−12​ already simplified?

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Updated 2026-09-17

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OpenStax

Elementary Algebra @ OpenStax

Ch.8 Rational Expressions and Equations - Elementary Algebra @ OpenStax

Algebra

Math

Prealgebra

Recall in Bloom's Taxonomy

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  • Match each component of the process for adding 3x−3+2x−2\frac{3}{x-3} + \frac{2}{x-2}x−33​+x−22​ with its correct algebraic representation.

  • What is the Least Common Denominator (LCD) required to add the rational expressions 3x−3\frac{3}{x - 3}x−33​ and 2x−2\frac{2}{x - 2}x−22​?

  • When adding 3x−3+2x−2\frac{3}{x-3} + \frac{2}{x-2}x−33​+x−22​, you multiply the numerator 333 by (x−2)(x-2)(x−2) and the numerator 222 by (x−3)(x-3)(x−3).

  • When getting a common denominator, you multiply by an expression like x−2x−2\frac{x-2}{x-2}x−2x−2​. What is this expression called?

  • Order the steps to add the rational expressions: 3x−3+2x−2\frac{3}{x - 3} + \frac{2}{x - 2}x−33​+x−22​

  • Add 3x−3+2x−2\frac{3}{x-3}+\frac{2}{x-2}x−33​+x−22​. The simplified numerator is _____.

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