Question

Wykonaj dodawanie wyrażeń wymiernych

1 4

a) ------ + ------ =

2x-3 x-4

3 2 3

b) ------- + ------ + ------ =

x x-1 2x+2

Answer 1

         1              4              1*(x-4) +  4*(2x-3)            x-4 + 8x - 12            9x -16

a)   ------  +   ------  =         -----------------------  =    ------------------- =  ----------------  

       2x-3         x-4                   (2x-3)*(x-4)             2x^2 - 8x - 3x +8    2x^2 - 11x +8  

 

 

 

 

 

 

            3            2          3           3*(x-1)*(2x+2) + 2*x*(2x+2) + 3*x*(x-1)

b)    -------   +  ------  + ------ =    ------------------------------------------------ =               

            x          x-1        2x+2                          x*(x-1)*(2x+2)                       

 

 

    6x^2 + 6x - 6x - 6 + 4x^2 + 4x + 3x^2 - 3x         13x^2 +x -6   

= ----------------------------------------------------   = --------------------------

      x*(2x^2 +2x -2x -2)                                        2x^3 -2x