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PilotLPTM [1.2K]
2 years ago
9

Simplify completely'''​

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
6 0

Answer:

\displaystyle \frac{x + 2}{x - 1}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{7x^2 + 11x - 6}{7x^2 - 10x + 3}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                           \displaystyle \frac{(x + 2)(7x - 3)}{7x^2 - 10x + 3}
  2. [Fraction] Factor denominator:                                                                      \displaystyle \frac{(x + 2)(7x - 3)}{(x - 1)(7x - 3)}
  3. [Fraction] Divide:                                                                                              \displaystyle \frac{x + 2}{x - 1}
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