Answer
$=\frac{2c^2+4c}{c-1}$
with $c \ne 1 $
Work Step by Step
$\frac{4c}{2c+2}.\frac{c^2+3c+2}{c-1}$
Multiply
$=\frac{4c}{2(c+1)}.\frac{(c+1)(c+2)}{c-1}$
$=\frac{2c(c+2)}{c-1}$
$=\frac{2c^2+4c}{c-1}$
with $c \ne 1 $
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