Answer
$(x+2)(x-3)$
Work Step by Step
Factor out $(x+2)$.
$(x+2)^2-5(x+2)=(x+2)[(x+2)-5]$
Simplify.
$=(x+2)(x+2-5)$
$=(x+2)(x-3)$
Hence, the completely factored form of the given expression is $(x+2)(x-3)$.
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