Respuesta :

garydesir1

6/x +7 -(3/x -2 )

= (9x+3)/x


I hope that's help !

Willchemistry
Remove the parentheses: ( a) = a

[tex] \frac{6}{x+7} - \frac{3}{x-2} [/tex]

Find the least common denominator:

[tex](x+7)(x-2)[/tex]

Adjust fractions based on the LCD :

[tex] \frac{6(x-2)}{(x+7)(x-2)} - \frac{3(x+7)}{(x+7)(x-2)} [/tex]

[tex]= \frac{6(x-2)-3(x+7)}{(x+7)(x-2)} [/tex]

Expand :

 [tex]6(x-2)-3(x+7)[/tex]

[tex]6 x - 12 - 3 x - 21[/tex]

[tex]6x - 3 x - 12 - 21[/tex]

[tex]3x - 33[/tex]

[tex] \frac{3x-33}{(x+7)(x-2)} [/tex]

hope this helps!


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