Question

How do you simplify `(y^2-22y+121)/(2y^2-16y-66`?

Answer 1

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

Explanation:

With algebraic fractions, try to find factors..

`(y^2-22y+121)/(2y^2-16y-66)" "(larr" quadratic trinomial")/(larr"common factor")`

`= ((y-11)(y-11))/(2(y^2-8y-33))" "(larr" factored")/(larr"quadratic trinomial")`

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

`= (cancel((y-11))(y-11))/(2(cancel(y-11))(y+3))`