Question

спростити вираз (3√7-2√3)×(2√3+3√7)-(4√6-√2)

Answer 1

$(a-b)(a+b)=a^2-b^2\\ (3 \sqrt{7} -2\sqrt{3})(3\sqrt{7}+2\sqrt{3} )=9*7-4*3=63-12=51\\ 4\sqrt{6} -\sqrt{2} =\sqrt{2} (4\sqrt{3} -1)$

Answer 2

$=(3 \sqrt{7}-2 \sqrt{3})(3 \sqrt{7}+2 \sqrt{3})-4 \sqrt{6}+ \sqrt{2}=63-12-4 \sqrt{6}+ \sqrt{2}= \\ =51-4 \sqrt{6}+ \sqrt{2}$