find the LCM of y^2+6y+9 and y^2+y-6

Answer 1

y^3+6y^2+9y=Y*(Y^2+6Y+9)=Y*(Y+3)^2
y^2-6y=Y*(Y-6)
The unique factors are therefore Y, (Y+3)^2 & (Y-6)
Y*(Y+3)^2*(Y-6) is the lcm

Answer 2

y^2 + 6y + 9
= (y+3)^2

y^2 + y - 6
= (y+3)(y-2)

so LCM = (y-2)(y+3)^2