butterflypoo3 wrote:Someone know how to factor:
2m^2 + 10m - 2n^2 + 10n
I get especially confused when I see four terms...
Always first look for any common factors
that you can take out front. In this case, a "2" comes out of everything:. . . . .
Now you have four terms, and no common factors. When this happens, it's usually a good idea to look for pairs of terms you can factor. To learn about this, try this page on factoring "in pairs"
. Once you've read that, the following should be useful:. . . . .
The first pair is a difference of squares
:. . . . .
From the second pair, you can factor out a "5":. . . . .
There is now a common factor you can take out front, and then simplify the (m - n) + 5 that remains (by removing the parentheses).