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Simplificati fractia [tex] \frac{12 x^{2} -3}{4 x^{2} -4x+1} [/tex] prin 2x-1, unde x∈ R\ {[tex]\frac{1}{2} } [/tex]}

Răspuns :

[tex] \frac{12 x^{2} -3}{4 x^{2} -4x+1} = \frac{3(4 x^{2} -1)}{(2x-1) ^{2} } = \frac{3(2x+1)(2x-1)}{(2x-1) ^{2} } = \boxed{\frac{3(2x+1)}{2x-1}}. [/tex]