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a) 5x+6 supra x^2-4 - x+3supra x-2: x^2+5x+6supra x-2

A 5x6 Supra X24 X3supra X2 X25x6supra X2 class=

Răspuns :

(5x+6)/(x^2-4) - (x+3)/(x-2) : (x^2+5x+6)/( x-2 )=
=(5x+6)/(x-2)(x+2) - (x+3)/(x-2) : (x+2)(x+3)/( x-2 )=
=(5x+6)/(x-2)(x+2) - (x+3)/(x-2) × ( x-2 )/(x+2)(x+3)=
=(5x+6)/(x-2)(x+2) -  1/(x+2)=
=(5x+6-x+2)/(x-2)(x+2)=
=(4x+8)/(x-2)(x+2)=
=4(x+2)/(x-2)(x+2)=
=4/(x-2)