latricewilliams2 latricewilliams2
  • 12-04-2018
  • Mathematics
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3x+6/x^2-x-6+2x/x^2+x-12
place steps to determine the sum of the expressions in the correct order

3x6x2x62xx2x12 place steps to determine the sum of the expressions in the correct order class=

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Аноним Аноним
  • 24-04-2018
[tex]\dfrac{3x+6}{x^2-x-6} + \dfrac{2x}{x^2+x-12} [/tex]

[tex]= \dfrac{3(x+2)}{(x + 2)(x - 3)} + \dfrac{2x}{ (x - 3)(x + 4)} [/tex]

[tex]= \dfrac{3}{(x - 3)} + \dfrac{2x}{ (x -3)(x + 4)} [/tex]

[tex]= \dfrac{3(x+4)}{(x - 3)(x + 4)} + \dfrac{2x}{ (x -3 )(x + 4)} [/tex]

[tex]= \dfrac{3(x+4) + 2x }{(x - 3)(x + 4)} [/tex]

[tex]= \dfrac{3x+12 + 2x }{(x - 3)(x + 4)} [/tex]

[tex]= \dfrac{5x+12}{(x - 3)(x + 4)} [/tex]



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