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sin^4x+cos^4x+2 sin^2x*cos^2x

Răspuns :

[tex] sin^{4} x+ cos^{4} x+2 sin^{2} x* cos^{2} x= ( sin^{2}x+ cos^{2}x) ^{2} = 1^{2}=1 [/tex]
Deoarece sin²x+cos²x=1