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efectuati : (x-2)(x+2)(x^2+4)-(x^2+1)^2+2(x+1)^2

Răspuns :

(x-2)(x+2)=[tex] x^{2} -4[/tex]

[tex] (x^{2} -4)( x^{2} +4)= x^{4} -16[/tex]

[tex] (x^{2} +1)^{2} = x^{4}+2 x^{2} +1 [/tex]

[tex]2(x+1) ^{2} [/tex]=2[tex] x^{2} +2x+1[/tex]

Avem:[tex] x^{4} -16- x^{4} -2 x^{2} -1+2 x^{2} +4x+2=4x-15[/tex]