How do you subtract \frac { y + 4} { y - 3} - \frac { y - 2} { y + 2}?

1 Answer
Mar 1, 2017

Find the LCD and simplify.
(11y+2)/((y+2)(y-3))

Explanation:

(y+4)/(y-3)-(y-2)/(y+2)

((y+4)(y+2))/((y-3)(y+2))-((y-2)(y-3))/((y+2)(y-3))

(y^2+6y+8)/((y+2)(y-3))-(y^2-5y+6)/((y+2)(y-3))

(11y+2)/((y+2)(y-3))