# How do you factor #243(3x - 1)^2 - 48(2y + 3)^2#?

##### 1 Answer

Use the difference of squares property to get

#### Explanation:

What should always jump out at you in a factoring question containing a minus sign and stuff squared is difference of squares:

But the 243 and 48 kind of kill that idea, because they aren't perfect squares. However, if we factor out a

Which can be rewritten as:

Now we can apply difference of squares, with:

Doing so gives:

Let's get rid of some parentheses by distributing:

Finally, collect terms: