Simplify by multiplying through. $\backslash (\backslash$mathrm$\{\{\backslash$left$(-\{$x$\}-\{2\}\backslash$right$)\}\{\backslash$left$(\{$x$\}-\{3\}\backslash$right$)\}\{\backslash$left$(\{$x$\}+\{5\}\backslash$right$)\}^\{\{\{2\}\}\}\}\backslash )(-$x$-2)($x$-3)($x$+5)^(2)$ Expand $\backslash (\backslash$mathrm$\{\{\backslash$left$(-\{$x$\}-\{2\}\backslash$right$)\}\{\backslash$left$(\{$x$\}-\{3\}\backslash$right$)\}\}\backslash )(-$x$-2)($x$-3)$ using the FOIL Method. $\backslash (\backslash$mathrm$\{\{\backslash$left$(-\backslash$times$-\{$x$\}\backslash$cdot$-\{3\}-\{2\}\{$x$\}-\{2\}\backslash$cdot$-\{3\}\backslash$right$)\}\{\backslash$left$(\{$x$\}+\{5\}\backslash$right$)\}^\{\{\{2\}\}\}\}\backslash )(-$xx$-$x$\backslash$cdot$-3-2$x$-2\backslash$cdot$-3)($x$+5)^(2)$ Simplify and combine like terms. $\backslash (\backslash$mathrm$\{\{\backslash$left$(-\{$x$\}^\{\{\{2\}\}\}+\{$x$\}+\{6\}\backslash$right$)\}\{\backslash$left$(\{$x$\}+\{5\}\backslash$right$)\}^\{\{\{2\}\}\}\}\backslash )(-$x$^(2)+$x$+6)($x$+5)^(2)$ Rewrite $\backslash (\backslash$mathrm$\{\{\backslash$left$(\{$x$\}+\{5\}\backslash$right$)\}^\{\{\{2\}\}\}\}\backslash )($x$+5)^(2)$ as $\backslash (\backslash$mathrm$\{\{\backslash$left$(\{$x$\}+\{5\}\backslash$right$)\}\{\backslash$left$(\{$x$\}+\{5\}\backslash$right$)\}\}\backslash )($x$+5)($x$+5).\backslash (\backslash$mathrm$\{\{\backslash$left$(-\{$x$\}^\{\{\{2\}\}\}+\{$x$\}+\{6\}\backslash$right$)\}\{\backslash$left$(\{\backslash$left$(\{$x$\}+\{5\}\backslash$right$)\}\{\backslash$left$(\{$x$\}+\{5\}\backslash$right$)\}\backslash$right$)\}\}\backslash )(-$x$^(2)+$x$+6)(($x$+5)($x$+5))$ Expand $\backslash (\backslash$mathrm$\{\{\backslash$left$(\{$x$\}+\{5\}\backslash$right$)\}\{\backslash$left$(\{$x$\}+\{5\}\backslash$right$)\}\}\backslash )($x$+5)($x$+5)$ using the FOIL Method. $\backslash (\backslash$mathrm$\{\{\backslash$left$(-\{$x$\}^\{\{\{2\}\}\}+\{$x$\}+\{6\}\backslash$right$)\}\{\backslash$left$(\backslash$times$+\{$x$\}\backslash$cdot$\{5\}+\{5\}\{$x$\}+\{5\}\backslash$cdot$\{5\}\backslash$right$)\}\}\backslash )(-$x$^(2)+$x$+6)($xx$+$x$\backslash$cdot$5+5$x$+5\backslash$cdot$5)$ Simpl