Simplify the rational expression Find all numbers that must

Simplify the rational expression Find all numbers that must be excluded from the domain of the sirnp/ified rational expression y^2-3y+2/y^2+5y-6 Simplify the rational expression Select the collect choice below and fill in .my answer boxes In your choice (Simplify your answer Use positive exponents only)

Solution

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

=(y^2 -2y -y+2)/(y^2+6y-y-6)

=(y(y-2)-1(y-2))/(y(y+6)-1(y+6))

=((y-1)(y-2))/(y-1)(y+6)

=(y-2)/(y+6)

So (y^2-3y +2)/(y^2 +5y-6)=(y-2)/(y+6)

y =-6 should be excluded from domain of function as it will lead to infinite value.

thank you