Perform the operation Assume that no denominators are 0 Simp

Perform the operation. Assume that no denominators are 0. (Simplify your answer completely.) x +3 /x + x-6 / x + 2

Solution

(y +9)/( y-1) - (y+8)/(1-y)

(1-y) in 2nd fraction ---> - ( y-1)

(y +9)/( y-1) +(y+8)/( y-1)

(y-1) can be taken as common denominator:

1/(y-1) { (y+9) + (y+8) }

1/( y-1) { 2y+ 17}

= (2y +17))/( y-1)