# Simplify (y^2+8y-20)/(y^2-11y+18)

y2+8y-20y2-11y+18
Factor y2+8y-20 using the AC method.
Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is -20 and whose sum is 8.
-2,10
Write the factored form using these integers.
(y-2)(y+10)y2-11y+18
(y-2)(y+10)y2-11y+18
Factor y2-11y+18 using the AC method.
Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 18 and whose sum is -11.
-9,-2
Write the factored form using these integers.
(y-2)(y+10)(y-9)(y-2)
(y-2)(y+10)(y-9)(y-2)
Cancel the common factor of y-2.
Cancel the common factor.
(y-2)(y+10)(y-9)(y-2)
Rewrite the expression.
y+10y-9
y+10y-9
Simplify (y^2+8y-20)/(y^2-11y+18)