SOLUTION: 21m^3 over m^2 - 4 divided by 7m^2 over m^2 plus 4m plus 4

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Question 599364: 21m^3 over m^2 - 4 divided by 7m^2 over m^2 plus 4m plus 4
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
21m^3 over m^2 - 4 divided by 7m^2 over m^2 plus 4m plus 4
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[21m^3/(m^2-4)] / [7m^2/(m^2+4m+4)]
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= [21m^3/(m^2-4)] * [(m^2+4m+4)/7m^2]
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= [21m^4/7m^2] * [(m+2)^2/(m-2)(m+2)]
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= [3m^2]
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= [3m^4+6m^2]/[m-2]
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Cheers,
Stan H.