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09 pcte
catalinacons
Școala Primară (Clasele I-IV)
Matematică
5+3 pcte


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


Răspuns :

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

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

= [1/(x+3) - x/(x+3)]• (x+3)/3x(1-x)=

= (1-x)/(x+3) • (x+3)/3x(1-x)=

= (1-x)/1 • 1/3x(1-x)=

= 1/3x