Completely factor the expression by grouping, if possible.
2ac−5bd+bc−10ad
To factor by grouping, let's pair up the terms:
(2ac - 5bd) + (bc - 10ad)
Now, let's find the greatest common factor (GCF) for each pair:
GCF of 2ac and 5bd: ac
GCF of bc and 10ad: c
Factoring out the GCF from each pair, we get:
ac(2a - 5b) + c(b - 10ad)
Now, we can factor out the common factor from both terms:
ac(2a - 5b) - c(10ad - b)
Therefore, the completely factored expression is:
ac(2a - 5b) - c(10ad - b)