pelumia23 pelumia23
  • 01-07-2020
  • Mathematics
contestada

x square + 4 x - 12 all over x squared - 2x ​

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ujalakhan18
ujalakhan18 ujalakhan18
  • 01-07-2020

Answer:

[tex]\frac{x+6}{x}[/tex]

Step-by-step explanation:

=> [tex]\frac{x^2+4x-12}{x^2-2x}[/tex]

=> [tex]\frac{x^2+6x-2x-12}{x(x-2)}[/tex]

=> [tex]\frac{x(x+6)-2(x+6)}{x(x-2)}[/tex]

=> [tex]\frac{(x-2)(x+6)}{x(x-2)}[/tex]

Cancelling (x-2)

=> [tex]\frac{x+6}{x}[/tex]

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