Fompletely factor the expression by grouping, if possible. $$ 5 a c-4 b d+b c-20 a d $$

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1. Write the expression:
   $$
   5ac - 4bd + bc - 20ad
   $$

2. Group the terms:
   $$
   (5ac - 20ad) + (bc - 4bd)
   $$

3. Factor common factors in each group:

- In the first group, $$5ac - 20ad$$, factor out $$5a$$:
     $$
     5a(c - 4d)
     $$
     
   - In the second group, $$bc - 4bd$$, factor out $$b$$:
     $$
     b(c - 4d)
     $$

4. Now the expression becomes:
   $$
   5a(c - 4d) + b(c - 4d)
   $$

5. Factor out the common binomial factor $$(c - 4d)$$:
   $$
   (c - 4d)(5a + b)
   $$

The completely factored expression is:
$$
(c - 4d)(5a + b)
$$
The expression factors to $$(c - 4d)(5a + b)$$.

Fompletely factor the expression by grouping, if possible.

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