Question

simplify (4√3 -2√2) (4√3+2√2)​

Answer 1

$\left( 4 \sqrt{ 3 } -2 \sqrt{ 2 } \right) (4 \sqrt{ 3 } +2 \sqrt{ 2 } )$

$\left(4\sqrt{3}\right)^{2}-\left(2\sqrt{2}\right)^{2}$

$4^{2}\left(\sqrt{3}\right)^{2}-\left(2\sqrt{2}\right)^{2}$

$16\left(\sqrt{3}\right)^{2}-\left(2\sqrt{2}\right)^{2}$

$16\times 3-\left(2\sqrt{2}\right)^{2}$

$48-\left(2\sqrt{2}\right)^{2}$

$48-2^{2}\left(\sqrt{2}\right)^{2}$

$48-4\left(\sqrt{2}\right)^{2}$

$48-4\times 2$

$48-8$

$40$