garciaalex2 garciaalex2
  • 22-11-2019
  • Mathematics
contestada

x square + 4x - 5 / x square + 9x + 20

Respuesta :

jimrgrant1 jimrgrant1
  • 22-11-2019

Answer:

[tex]\frac{x-1}{x+4}[/tex]

Step-by-step explanation:

Factor the numerator and denominator

x² + 4x - 5 = (x + 5)(x - 1)

x² + 9x + 20 = (x + 4)(x + 5)

Thus fraction becomes

[tex]\frac{(x+5)(x-1)}{(x+4)(x+5)}[/tex]

Cancel the factor (x + 5) on numerator/ denominator

= [tex]\frac{x-1}{x+4}[/tex]

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