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x^{2}\left(x^{2}+cx-2x-2c\right)
Factor out x^{2}.
x\left(x+c\right)-2\left(x+c\right)
Consider x^{2}+cx-2x-2c. Do the grouping x^{2}+cx-2x-2c=\left(x^{2}+cx\right)+\left(-2x-2c\right), and factor out x in the first and -2 in the second group.
\left(x+c\right)\left(x-2\right)
Factor out common term x+c by using distributive property.
x^{2}\left(x+c\right)\left(x-2\right)
Rewrite the complete factored expression.