tb8193702 tb8193702
  • 14-11-2019
  • Mathematics
contestada

1. Simplify the expression (x/x-2)+(5/x+3). Show your work.

Respuesta :

WinterWhitney WinterWhitney
  • 14-11-2019

Answer:

[x ÷( x -2) ] + [ 5 ÷( x +3)] = [tex]\frac{x^{2}+ 8 x -10}{x^{2} + x -6}[/tex]

Step-by-step explanation:

[x ÷( x -2) ] + [ 5 ÷( x +3)]

LCM = (x -2) (x + 3)

{ x ( x+3) + 5 ( x -2)} ÷{ ( x-2) ( x +3)

i.e  (x² + 3 x + 5 x - 10 ) ÷ { x² + 3 x - 2 x - 6}

i.e ( x² + 8 x - 10) ÷ ( x² + x - 6)

= [tex]\frac{x^{2}+ 8 x -10}{x^{2} + x -6}[/tex]

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