SOLUTION: I need help with this one, please.Find the LCM of 10z^2 +40z and 5z^2 +45z + 100. Can anyone help me solve this.

Question 461900: I need help with this one, please.Find the LCM of 10z^2 +40z and 5z^2 +45z + 100. Can anyone help me solve this.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the LCM of 10z^2 +40z and 5z^2 +45z + 100
----
Factor each expression:
10z^2+40z = 10z(z+4) = 2*5(z+4)
---
5z^2+45z+100 = 5(z^2+9z+20) = 5(z+4)(z+5)
-----------------
The LCM must contain each of the different factors:
LCM = 2*5*(z+4)(z+5)
---
LCM = 10[z^2+9z+20] = 10z^2+90z+200
======================================
Cheers,
Stan H.
============
RELATED QUESTIONS
please help me with these problems. I can't seem to understand. 45z^3 - 90z^2+ 40z... (answered by Alan3354,stanbon)

Short Answer. Find the following product: -5z(5z^3+2z^2-9) I got -(25z^4+10z^3-45z)... (answered by rfer)

Can anyone help me with this problem. Thanks ! Find the LCM of... (answered by dhartman0220)

Can anyone please help me with this problem? 1. The formula for simple interest is... (answered by Alan3354)

Please help me solve this equation -2x+3y-5z+w=0... (answered by checkley77)

I need help finding th LCM of {{{z^2 +16z +64 and z^2 +5z... (answered by mananth,ankor@dixie-net.com)

Please help me with this problem. I know the LCM is (x-2) (x+2) and this is multiplied... (answered by vleith)

I need help with rational expression below. Find the least common multiple (LCM) of... (answered by Fombitz)

Please help me solve this system of equations: Directions: Solve using elimination and (answered by MathTherapy)