(9x² + 4y²)(3x + y)(3x - y)
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It's a simple example of a difference of two squares.
Firstly, we can write the expression as a square minus another square in the form a²- b² which is (9x²)² - (4y²)².
The difference of squares can be factorized using the formula:
Applying this to our expression, the factorized form will be:
The resulting factor, 9x² - 4y², can be further factorized as it's also a difference of squares.
The final expression is:
- (9x² + 4y²)(3x + y)(3x - y)