Posted by **Rob** on Friday, January 20, 2012 at 5:26pm.

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

- Algebra -
**h8er_for_h8er**, Friday, January 20, 2012 at 5:32pm
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

- Algebra -
**Reiny**, Friday, January 20, 2012 at 6:22pm
y^2 + 6y + 9

= (y+3)^2

y^2 + y - 6

= (y+3)(y-2)

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

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