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E(x)= (x+3/x²+6x+9 - x/x+3)•x+3/-2x²-3x+6x

Răspuns :

E(x)= [(x+3)/(x²+6x+9) - x/(x+3)]• (x+3)/(-2x²-3x+6x)=

= [(x+3)/(x+3)² - x/(x+3)]• (x+3)/(-2x²+3x)=

= [1/(x+3) - x/(x+3)]• (x+3)/x(-2x+3)=

= (1-x)/(x+3) • (x+3)/x(-2x+3)=

= (1-x)/1 • 1/x(-2x+3)=

= (1-x)/x(3-2x)