Bonjour,
Simplifier:
2+(1/x-1)= (2(x-1)+1)/(x-1)= (2x-2+1)/(x-1)= (2x-1)/(x-1)
5+(x+2)/(x-2)= (5(x-2)+x+2)/(x-2)= (5x-10+x+2)/(x-2)= (6x-8)/(x-2)
(x+3)+ (3/x)= (x(x+1)+3)/x= (x²+x+3)/x
(2/x)+(1/(x+6))= (2(x+6)+x)/(x(x+6))= (2x+12+x)/(x²+6x)= (3x+12)/(x²+6x)
(1/x-2)-(3/x)= (x-3(x-2))/(x(x-2))= (x-3x-6)/(x²-2x)= (-2x-6)/(x²-2x)
√x+ (1/√x)= (√x * √x +1)/ √x= (x+1)/(√x)
(x-1)+ (1/x+1)= ((x-1)(x+1))+1)/(x+1)= (x²-x+x-1+1)/(x+1)= x²/(x+1)
