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Cum se poate descompune in factori expresia x^2 - 2√3x + 3 - (y - 2√3)^2 ? As vrea rezolvarea completa.

Răspuns :

x^2 - 2√3x + 3 - (y -2√3)²=(x-√3)²-(y -2√3)²= (x-√3+y-2√3) (x-√3 -y+2√3)=
= (x-3√3+y)* (x+√3-y)