Question

Rút gọn phân thức:

x² - xy - x + y

_____________

x² + xy - x - y

Answer 1

\(\frac{x^{2}- xy - x + y}{x^{2} + xy - x - y}= \frac{x(x - y)- (x - y)}{x(x + y)- (x + y)}= \frac{(x - y)(x - 1)}{(x + y)(x - 1)}= \frac{x - y}{x + y}\)

Answer 2

1)x²-xy-x+y=x(x-y)-1(x-y)=(x-1)(x-y)

2)x²+xy-x-y=x(x+y)-1(x+y)=(x-1)(x+y)