62.2k views
3 votes
Factor -5a^2b + 10ab^2 - 20b + 25a^3b

User Egghead
by
5.6k points

2 Answers

5 votes
Factor out the GCF, which is 5b, and you get: 5b(5a^3-a^2+2ab-4)
User Mehdi Khalili
by
6.1k points
4 votes
For this case we have the following expression:
-5a ^ 2b + 10ab ^ 2 - 20b + 25a ^ 3b
We observe that the term 5b is repeated throughout the expression,
therefore it is a common factor.
So, factoring we have:
5b (-a ^ 2 + 2ab - 4 + 5a ^ 3)
Then, rewriting we have:
5b (a ^ 2 (5a-1) + 2ab-4)
Answer:
The factored expression is given by:
5b (a ^ 2 (5a-1) + 2ab-4)
User Tzila
by
5.9k points