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KATELYN78IN
Answered

Multiply the rational expressions
[tex] \frac{2x + 1}{x {}^{2} - 1} . \frac{x + 1}{2x {}^{2} + x } [/tex]
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Sagot :

  • Factor out ‎ ‎ ‎ x² - 1 = (x + 1)(x - 1)

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎2x² + x = x(2x + 1)

  • Multiply across the numerators and across the denominators.
  • The common factors it is clear which ones to eliminate or can be divided easily which gives a quotient of 1.
  • Last is, Simplify.

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