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Cocosmariana492
a fost răspuns

Aduceti la forma cea mai simpla
expresie x2+2x+2y2-y4 supra x2-xy2+2y2-4

Răspuns :

Renatemambouko
(x²+2x+2y²-y⁴) /( x²-xy²+2y²-4)=

x²-y⁴+2x+2y²=(x+y²)(x-y²)+2(x+y²)=(x+y²)(x-y²+2)

x²-xy²+2y²-4=x²-4-xy²+2y²=(x-2)(x+2)-y²(x-2)=(x-2)(x+2-y²)=(x-2)(x-y²+2)

=(x+y²)(x-y²+2)/(x-2)(x-y²+2)=(x+y²)/(x-2)