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4a\left(c-9d\right)+b\left(c-9d\right)
Do the grouping 4ac-9bd+bc-36ad=\left(4ac-36ad\right)+\left(bc-9bd\right), and factor out 4a in the first and b in the second group.
\left(c-9d\right)\left(4a+b\right)
Factor out common term c-9d by using distributive property.