Use the Quotient Rule to Find the Derivative $y=\frac{x^{2}+2 x-2}{x^{2}-2 x+2}$

Multiple Choice

Use the quotient rule to find the derivative.
- $y=\frac{x^{2}+2 x-2}{x^{2}-2 x+2}$

A) $y^{\prime}=\frac{-4 x^{2}-8 x}{\left(x^{2}-2 x+2\right) ^{2}}$
B) $y^{\prime}=\frac{-4 x^{2}+8 x}{\left(x^{2}-2 x+2\right) ^{2}}$
C) $y^{\prime}=\frac{4 x^{2}+8 x}{\left(x^{2}-2 x+2\right) ^{2}}$
D) $y^{\prime}=\frac{4 x^{2}-8 x}{\left(x^{2}-2 x+2\right) ^{2}}$