Factor
\left(b-2c\right)\left(a+c\right)
Evaluate
\left(b-2c\right)\left(a+c\right)
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a\left(b-2c\right)+c\left(b-2c\right)
Do the grouping ab-2ac+bc-2c^{2}=\left(ab-2ac\right)+\left(bc-2c^{2}\right), and factor out a in the first and c in the second group.
\left(b-2c\right)\left(a+c\right)
Factor out common term b-2c by using distributive property.
Examples
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