How do you factor #5b ^ { 2} c - 10b c#?

1 Answer
May 22, 2017

#5bc(b-2)#

Explanation:

Since this is not a quadratic, all we need to do is finding the LCF.

To find the least common factor, break everything down into it's smallest components:

#5b^2c=5xxbxxbxxc#

#10bc=5xx2xxbxxc#

We can see that they have a #5#, #b#, and #c# in common. Take these out and write the remaining factors inside the parentheses:

#5bc(b-2)#