ahnorthcutt9270 ahnorthcutt9270
  • 22-10-2019
  • Mathematics
contestada

Perform the indicated operation.(3/a+2) + (4/a-5)

Respuesta :

lyndalau86
lyndalau86 lyndalau86
  • 22-10-2019

Answer:

[tex]\frac{7(a-1)}{(a+2)(a-5)}[/tex]

Step-by-step explanation:

To solve this operation we need to find the common multiple of both denominators and solve for a.

[tex]\frac{3}{a+2} + \frac{4}{a-5} =\frac{3(a-5)+4(a+2)}{(a+2)(a-5)} =\frac{3a-15+4a+8}{(a+2)(a-5)} =\frac{7a-7}{(a+2)(a-5)} =\frac{7(a-1)}{(a+2)(a-5)}[/tex]

Thus, the solution is 7(a -1) / (a+2)(a-5)

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