Solve: (x+2)^2-6(x+2)+9 - Vidyadip

Question

Solve:
$ (x+2)^2-6(x+2)+9 $

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Answer

$ (x+2)^2-6(x+2)+9 $
$ =(x+2)^2-2 \cdot(x+2) \cdot 3+3^3 $
$ =[(x+2)-3]^2 $
$ =(x+2-3)^2 $
$ =(x-1)^2 $
$ =(x-1)(x-1) $

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