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grrrrrrrRobilandov
grrrrrrrRobilandov grrrrrrrRobilandov
  • 21-06-2016
  • Mathematics
Answered

Factor each expression.


Problem: 2p^3 + 6p^2 + 3p + 9

Answer: (p + 3) (2p2 + 3)

Verified Answer :

xSamx
xSamx xSamx
  • 21-06-2016

Factor by grouping
\(2p^3 + 6p^2 + 3p + 9\)
\(2 p^3+6 p^2+3 p+9=\left(2 p^3+6 p^2\right)+(3 p+9)=\left(2 p^2\right) (p+3)+3 (p+3)\)
\(2 p^2 (p+3)+3 (p+3)\)
\((p+3) \left(2 p^2+3\right)\)

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