SOLUTION: Find the LCM for w^3+4w^2+4w and w^2-4w?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the LCM for w^3+4w^2+4w and w^2-4w?      Log On


   

Question 394881: Find the LCM for w^3+4w^2+4w and w^2-4w?
Found 2 solutions by robertb, stanbon:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
+w%5E3%2B4w%5E2%2B4w+=+w%28w%5E2+%2B+4w+%2B+4%29+=+w%28w%2B2%29%5E2
w%5E2+-+4w+=+w%28w-4%29
Therefore LCM = w%28w%2B2%29%5E2%28w-4%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the LCM
Factor each expression:
w^3+4w^2+4w
w(w^2+4w+4)
w(w+2)^2
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w^2-4w
w(w-4)
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The lcm must have each factor in its highest power:
LCM = w(w-4)(w+2)^2
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Cheers,
Stan H.
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