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What is the sum?

StartFraction x Over x + 3 EndFraction + StartFraction 3 Over x + 3 EndFraction + 2 Over x + 3 EndFraction

What is the sum? StartFraction x Over x + 3 EndFraction + StartFraction 3 Over x + 3 EndFraction-example-1

1 Answer

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Answer:


\displaystyle (x+5)/(x+3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Combining Like Terms

Explanation:

Step 1: Define


\displaystyle (x)/(x+3) + (3)/(x+3) + (2)/(x + 3)

Step 2: Simplify

  1. Combine fractions:
    \displaystyle (x+3+2)/(x+3)
  2. Combine like terms:
    \displaystyle (x+5)/(x+3)
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