To simplify this expression, we first distribute the terms:
(2√3 + 1)(2 + √3) - (√6 + √2)²
= 4√3 + 2 + 2 + 3 - 6√2 - 2√3 - 2√6 - 2√2
= 6√3 + 7 - 6√2 - 2√6 - 2√2
Next, combine like terms:
= 6√3 - 6√2 - 2√6 - 2√2 + 7
Therefore, the simplified expression is:6√3 - 6√2 - 2√6 - 2√2 + 7.
To simplify this expression, we first distribute the terms:
(2√3 + 1)(2 + √3) - (√6 + √2)²
= 4√3 + 2 + 2 + 3 - 6√2 - 2√3 - 2√6 - 2√2
= 6√3 + 7 - 6√2 - 2√6 - 2√2
Next, combine like terms:
= 6√3 - 6√2 - 2√6 - 2√2 + 7
Therefore, the simplified expression is:
6√3 - 6√2 - 2√6 - 2√2 + 7.