Find the product and simplify if possible Solutiony2 9y 20y2

Find the product and simplify if possible

(y^2 +9y +20)/(y^2 +8y -9) / (y^2 + 2y -3)/(y^2 +8y +16)

We hev to factorise each expression in num. and den.:

y^2 +9y +20 = y^2 +5y +4y +20 = (y +4)(y+5)

y^2 +8y -9 = y^2 +9y -y -9 = (y-1)(y+9)

(y^2 + 2y -3) = y^2 +3y -y -3 = (y -1)(y +3)

y^2 +8y +16 = (y+4)^2

(y^2 +9y +20)/(y^2 +8y -9) / (y^2 + 2y -3)/(y^2 +8y +16)

= (y +4)(y+5)*(y -1)(y +3)/(y-1)(y+9)*(y+4)^2

cancellin common factors:

= (y +5)(y +3)/(y+9)(y+4)