Question

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

Answer 1

$\frac{12 x^{2} -3}{4 x^{2} -4x+1} = \frac{3(4 x^{2} -1)}{(2x-1) ^{2} } = \frac{3(2x+1)(2x-1)}{(2x-1) ^{2} } = \boxed{\frac{3(2x+1)}{2x-1}}.$