Answer:
(3xy)(2x² + 3y²)
Explanation:
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The greatest common factor for the coefficients is 3, as both terms have a coefficient with the greatest factor of 3.
The greatest common factor for the x-terms is x, as both terms has x to a minimum of the first power.
The greatest common factor for the y terms is y as both terms has y to a minimum of the first power.
Factor out 3xy:
- 6x³y + 9xy³
- 3xy(2x²) + 3xy(3y²)
- (3xy)(2x² + 3y²)
The factored form is (3xy)(2x² + 3y²).