Question

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

Answer 1

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))`