tylerh2142 tylerh2142
  • 06-06-2019
  • Mathematics
contestada

Perform the Operation k^2+3k-10/36 × 3/k^2-4

Respuesta :

Gasaqui
Gasaqui Gasaqui
  • 06-06-2019

Answer:

[tex]\frac{(k+5)}{12(k+2)}[/tex]

Step-by-step explanation:

We need to perform the folowing operation:

[tex]\frac{k^{2} + 3k - 10 }{36}[/tex] × [tex]\frac{3}{k^{2} -4 }[/tex]

Factorizing we have:

[tex]\frac{(k-2)(k+5)}{36}[/tex]  × [tex]\frac{3}{(k+2)(k-2)}[/tex]

Simplifying, we get:

[tex]\frac{(k+5)}{12(k+2)}[/tex]

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