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fie expresia
E(x)=[tex] (x+3)^{2} + 2(x-4)(x+3) + (x-4)^{2} [/tex]
a) Aratati ca E(x)= [tex](2x-1)^{2} [/tex]
b)Descompuneti in factori expresia E(x) -[tex] (3x-2)^{2} [/tex]


Răspuns :

aplicam formulaa patrat+2ab+b patrat=(a+b) la patrat=> E(x)=(x+3+x-4) la patrat=(2x-1) la patrat...b)aplicam formula diferentei de patrate apatrat-b patrT=(a-b)(a+b) => (2x-1) la latrat-(3x-2) a patrat=(2x-1-3x+2)(2x-1+3x-2)=(-x+1)(5x-3)