y2-2y-35y2+14y+45

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 -35 and whose sum is -2.

-7,5

Write the factored form using these integers.

(y-7)(y+5)y2+14y+45

(y-7)(y+5)y2+14y+45

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 45 and whose sum is 14.

5,9

Write the factored form using these integers.

(y-7)(y+5)(y+5)(y+9)

(y-7)(y+5)(y+5)(y+9)

Cancel the common factor.

(y-7)(y+5)(y+5)(y+9)

Rewrite the expression.

y-7y+9

y-7y+9

Simplify (y^2-2y-35)/(y^2+14y+45)