### Video Transcript

Completely factor four ๐ง squared ๐ฅ minus ๐ง๐ฅ squared plus four ๐๐ง minus ๐๐ฅ.

Here, we can factor by grouping. And we do so by grouping the first two terms together and the last two terms together. And now, we take out a greatest common factor from each set of parentheses. We can take out a ๐ง and an ๐ฅ from the first set. And if we would take out ๐ง and ๐ฅ from both of these terms, we would be left with four ๐ง minus ๐ฅ.

And out of the last two terms, we can take out an ๐. So the ๐ is our GCF โ our greatest common factor. And once we take that out, we are left with four ๐ง minus ๐ฅ. So the greatest common factors come together to be one factor. And then these matching terms become another factor.

So our final answer is ๐ง๐ฅ plus ๐ times four ๐ง minus ๐ฅ.