Explications étape par étape:
bsr
A= 3/x + 1/ x+5
A= 3(x+5) /x( x+5) + x/ x(x+5)
A= 3x + 15/x(x+5) + x / x (x+5)
A= 4x + 15 / x( x +5)
B= 4/x+1 + 1/x-5
B= 4 (x-5)/(x+1)(x-5) + (x+1)/(x+1)(x-5)
B= 4x - 20/(x+1)( x-5) + (x +1)/(x+1)(x-5)
B= 5x - 19 /(x +1 )( x-5)
c= 3 - 1/x-5
c= 3 (x-5)/ x-5 - 1/ x-5
c= 3x - 15 - 1 / x-5
c= 3x -16 / x -5
D= x/x+2 - 1/x-5
D= x(x-5)/(x+2)(x-5) - (x+2)/(x-5)(x+2)
D= x(x-5) - (x+2)/(x-5)(x+2)
D= x2 - 5x - x - 2/ ( x-5)(x+2)
D= x2 -6x -2 / (x-5)(x+2)