Répondre :
f(x)= x^2-2x ; g(x)=1/x-1
Vérifié que f(x)-g(x)= x^3-3x^2+2x-1/x-1
f(x)-g(x)=x²-2x-1/(x-1)
=((x²-2x)(x-1)-1)/(x-1)
=(x³-2x²-x²+2x-1)/(x-1)
=(x³-3x²+2x-1)/(x-1)
Vérifié que f(x)-g(x)= x^3-3x^2+2x-1/x-1
f(x)-g(x)=x²-2x-1/(x-1)
=((x²-2x)(x-1)-1)/(x-1)
=(x³-2x²-x²+2x-1)/(x-1)
=(x³-3x²+2x-1)/(x-1)