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E(x) = xpatrat + 4x + 4 supra x(x+2) : 1 + 2suprax

Răspuns :

[tex] x^{2} +4x + 4 = ( x + 1 )^{2} ;[/tex]
[tex] ( x + 1 )^{2} / x( x + 2 ) = ( x + 2 ) / x ; [/tex]
1 + 2 / x = ( x + 2 ) / x ;
Atunci [ ( x + 2 ) / x ] ÷ [ ( x + 2 ) / x ] = [ ( x + 2 ) / x ] × [ x ( x + 2 ) ] = 1 ;

Bafta !