9y2+76y-45

Factor 76 out of 76y.

9y2+76(y)-45

Rewrite 76 as -5 plus 81

9y2+(-5+81)y-45

Apply the distributive property.

9y2-5y+81y-45

9y2-5y+81y-45

Group the first two terms and the last two terms.

(9y2-5y)+81y-45

Factor out the greatest common factor (GCF) from each group.

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

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

Factor the polynomial by factoring out the greatest common factor, 9y-5.

(9y-5)(y+9)

Factor 9y^2+76y-45