SOLUTION: Factor completely: 63c^2+294cp+343p^2 Please show work. Thank you!

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Question 523160: Factor completely:
63c^2+294cp+343p^2
Please show work. Thank you!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
63c^2+294cp+343p^2
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Divide thru by 7:
= 7[9c^2 + 42cp + 49p^2]
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= 7[9c^2 + 21cp + 21cp +49p^2)
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= 7[3c(3c+7p) + 7p(3c+7p)]
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= 7[(3c+7p)(3c+7p)]
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= 7(3c+7p)^2
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Cheers,
Stan H.
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