Упростите выражение (a-((4a-4)/a))/((2/a)-1)

[latex] \frac{a-\frac{4a-4}{a}}{ \frac{2}{a}-1}= \\ \\ \frac{\frac{a^{2}-4a-4}{a}}{ \frac{2-a}{a}}= \\ \\ \frac{a^{2}-4a-4}{a}}* \frac{a}{2-a}= \\ \\ \frac{a^{2}-4a-4}{2-a}[/latex] О.Д.З. [latex]2-a \neq 0 \\ a \neq 2[/latex] [latex]a^{2}-4a-4=0 \\ D=(-4)^{2}-4*(-4)=16+16=32 \\ \\ x_{1}= \frac{4+4 \sqrt{2}}{2} \\ \\ x_{2}= \frac{4-4 \sqrt{2}}{2}[/latex]