`A=(\frac{(x+2)^2-(x-2)^2+4x^2}{(x-2)(x+2)}).\frac{x^2-6x+7}{4x(x-2)}`
`=(\frac{x^2+4x+4-x^2+4x-4+4x^2}{(x-2)(x+2)}).\frac{x^2-6x+7}{4x(x-2)}`
`=(\frac{4x^2+8x}{(x-2)(x+2)}.\frac{x^2-6x+7}{4x(x-2)}`
`=\frac{4x(x+2).(x^2-6x+7)}{4x(x-2)(x+2)(x-2)}`
`=\frac{x^2-6x+7}{x^2-4x+4}`
`=\frac{x^2-4x+4-2x+3}{x^2-4x+4}`
`=1+\frac{3-2x}{x^2-4x+4}`