y2+8y-20y2-11y+18

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

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.

(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)