Fully simplify by factorising this expression x+y÷x_y÷x^2+xy÷x_y.

Answer 1

To fully simplify this expression, we need to factorise it further:

x + y ÷ x - y ÷ x^2 + xy ÷ x - y

= x + y/x - y/x^2 + x - y

= x + (y/x - y/x^2) + x - y

= x + y(1/x - 1/x^2) + x - y

= x + y(x - 1)/x^2 + x - y

= x + (yx - y)/x^2 + x - y

= x + yx - y/x^2 + x - y

= 2x + yx - y - y/x^2

Therefore, the fully simplified expression is 2x + yx - y - y/x^2.