Question

simplify (2√2+3√2)×(2√2-3√2)​

Answer 1

use a²-b²=(2root 2)²-3 root2 ²=8-18=-10

Answer 2

Your question can be solved by using the

identity

$(a + b) \times (a - b) = {a}^{2} - {b}^{2}$

therefore,

$(2 \sqrt{3} + 3 \sqrt{2} )(2 \sqrt{3} - 3 \sqrt{2} ) \\ =( {2 \sqrt{3} })^{2} - ( {3 \sqrt{2}) }^{2}$

$=( 4 \times 3) - (9 \times 2)$

$= 12 - 18 \\ = - 6$

HOPE THIS MAY HELP YOU