\(\left(\sqrt{32}-\sqrt{50}+\sqrt{27}\right)\left(\sqrt{27}+\sqrt{50}-\sqrt{32}\right)\)
\(=\left(4\sqrt{2}-5\sqrt{2}+\sqrt{27}\right)\left(\sqrt{27}+5\sqrt{2}-4\sqrt{2}\right)\)
\(=\left(-\sqrt{2}+\sqrt{27}\right)\left(\sqrt{27}+\sqrt{2}\right)\)
\(=\left(\sqrt{27}+\sqrt{2}\right)\left(\sqrt{27}-\sqrt{2}\right)\)
\(=27-2\)
\(=25\)