Bài 7:
1) \(\dfrac{x^2-y^2}{x^2-2xy+y^2}=\dfrac{\left(x-y\right)\left(x+y\right)}{\left(x-y\right)^2}=\dfrac{x+y}{x-y}\)
2) \(\dfrac{x^2-2x-3}{x^2-4x+3}=\dfrac{\left(x-3\right)\left(x+1\right)}{\left(x-3\right)\left(x-1\right)}=\dfrac{x+1}{x-1}\)
3) \(\dfrac{2x^2+3x-2}{2x^2-5x+2}=\dfrac{\left(2x-1\right)\left(x+2\right)}{\left(2x-1\right)\left(x-2\right)}=\dfrac{x+2}{x-2}\)
4) \(\dfrac{2x^2y-2x^2-2xy+2x}{2x^2-4x+2}=\dfrac{2x^2\left(y-1\right)-2x\left(y-1\right)}{2\left(x^2-2x+1\right)}=\dfrac{2x\left(y-1\right)\left(x-1\right)}{2\left(x-1\right)^2}=\dfrac{x\left(y-1\right)}{x-1}\)