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.

Algebra ->  Rational-functions -> 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.      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Find the LCM of 10z^2 +40z and 5z^2 +45z + 100
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Factor each expression:
10z^2+40z = 10z(z+4) = 2*5(z+4)
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5z^2+45z+100 = 5(z^2+9z+20) = 5(z+4)(z+5)
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The LCM must contain each of the different factors:
LCM = 2*5*(z+4)(z+5)
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LCM = 10[z^2+9z+20] = 10z^2+90z+200
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Cheers,
Stan H.
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