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  • Adding 7x+12x+3+x2x+3\frac{7x+12}{x+3} + \frac{x^2}{x+3}x+37x+12​+x+3x2​

True/False

The sum of 7x+12x+3\frac{7x+12}{x+3}x+37x+12​ and x2x+3\frac{x^2}{x+3}x+3x2​ simplifies to x+4x + 4x+4.

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Updated 2026-09-18

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Tags

OpenStax

Elementary Algebra @ OpenStax

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

Algebra

Math

Prealgebra

Application in Bloom's Taxonomy

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  • Add the rational expressions and simplify the result completely: 7x+12x+3+x2x+3\frac{7x + 12}{x + 3} + \frac{x^2}{x + 3}x+37x+12​+x+3x2​

  • The sum of 7x+12x+3\frac{7x+12}{x+3}x+37x+12​ and x2x+3\frac{x^2}{x+3}x+3x2​ simplifies to x+4x + 4x+4.

  • Add 7x+12x+3+x2x+3\frac{7x+12}{x+3} + \frac{x^2}{x+3}x+37x+12​+x+3x2​. The combined numerator in standard form is _____.

  • Order the steps to add and simplify: 7x+12x+3+x2x+3\frac{7x + 12}{x + 3} + \frac{x^2}{x + 3}x+37x+12​+x+3x2​

  • Match each step of adding and simplifying the rational expressions 7x+12x+3+x2x+3\frac{7x+12}{x+3} + \frac{x^2}{x+3}x+37x+12​+x+3x2​ with its correct algebraic result.

  • What is the common denominator when adding 7x+12x+3+x2x+3\frac{7x+12}{x+3} + \frac{x^2}{x+3}x+37x+12​+x+3x2​?

  • Why does the trinomial x2+7x+12x^2 + 7x + 12x2+7x+12 factor as (x+3)(x+4)(x + 3)(x + 4)(x+3)(x+4)?

  • Explain adding and simplifying 7x+12x+3+x2x+3\frac{7x+12}{x+3}+\frac{x^2}{x+3}x+37x+12​+x+3x2​

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