How do you factor #5a^2-25a-a+5#?

1 Answer
Jun 2, 2018

Answer:

#(5a-1)(a-5)#

Explanation:

Let's group the first two terms and the second two together. Then, we can factor out #5a# from the first group, and -1 from the second.

#5a(a-5)-1(a-5)#

Then, working backwards from the distributive property, we can state:
#(5a-1)(a-5)#