Absolutely, we can find xy and x² + y² using the following steps:
* Product (xy):
* Multiply x and y directly:
xy = (3√5 + 2√2) * (3√5 - 2√2)
* Sum of Squares (x² + y²):
* Square x and y individually:
* x² = (3√5 + 2√2)²
* y² = (3√5 - 2√2)²
* Expand the squares using the distributive property and simplify the terms.
* Add the resulting expressions for x² and y².
By following these steps, you'll arrive at the answers:
* xy = 37.0
* x² + y² = 106.0
HOPE IT HELPS YOU!!
