Algebra
posted by Rob on .
find the LCM of y^2+6y+9 and y^2+y6

y^3+6y^2+9y=Y*(Y^2+6Y+9)=Y*(Y+3)^2
y^26y=Y*(Y6)
The unique factors are therefore Y, (Y+3)^2 & (Y6)
Y*(Y+3)^2*(Y6) is the lcm 
y^2 + 6y + 9
= (y+3)^2
y^2 + y  6
= (y+3)(y2)
so LCM = (y2)(y+3)^2