Question

Calculați :
E(x)= ( x-1 supra x-2 - 3 supra x^2-x-2 - 4 supra x+1) : 3x supra x+1

Answer 1

sper ca te-am ajutat

Answer 2

[tex]E(x)=(\frac{x-1}{x-2}-\frac{3}{x^2-x-2}-\frac{4}{x+1}):\frac{3x}{x+1}\\ x^2-x-2=x^2-2x+x-2=x(x-2)+(x-2)=(x+1)(x-2)\\ E(x)=(\frac{x-1}{x-2}-\frac{3}{(x+1)(x-2)}-\frac{4}{x+1})*\frac{x+1}{3x}\\ E(x)=\frac{(x-1)(x+1)-3-4(x-2)}{x-2}*\frac{1}{3x}\\ E(x)=\frac{x^2-1-3-4x+8}{x-2}*\frac{1}{3x}\\ E(x)=\frac{x^2-4x+4}{x-2}*\frac{1}{3x}\\ E(x)=\frac{(x-2)^2}{x-2}*\frac{1}{3x}\\ E(x)=\frac{x-2}{3x}[/tex]