How do you simplify (2sqrt5)/(2sqrt7+3sqrt3)?

$\left(4 \sqrt{35} - 6 \sqrt{15}\right)$
$\frac{2 \sqrt{5}}{2 \sqrt{7} + 3 \sqrt{3}} = \frac{2 \sqrt{5}}{\sqrt{28} + \sqrt{27}} = \frac{\left(2 \sqrt{5}\right) \left(\sqrt{28} - \sqrt{27}\right)}{\left(\sqrt{28} + \sqrt{27}\right) \left(\sqrt{28} - \sqrt{27}\right)} = \frac{4 \sqrt{35} - 6 \sqrt{15}}{1} = \left(4 \sqrt{35} - 6 \sqrt{15}\right)$