Question

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

Answer 1

`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)`