Найдите частное при делении многочлена \(\displaystyle y^{\,18}+13y^{\,10}-9y^{\,8}\) на одночлен \(\displaystyle y^{\,5}\) в столбик при известном процессе деления:

\(\displaystyle -\)	\(\displaystyle \small\color{blue}{\bf y^{\,18}}\)	\(\displaystyle +\)	\(\displaystyle \small 13y^{\,10}\)	\(\displaystyle -\)	\(\displaystyle \small 9y^{\,8}\)	\(\displaystyle \small y^{\,5}\)
	\(\displaystyle \small y^{\,18}\)					[ ]	[ ]	[ ]
		\(\displaystyle -\)	\(\displaystyle \small\color{yellowgreen}{\bf 13y^{\,10}}\)	\(\displaystyle -\)	\(\displaystyle \small 9y^{\,8}\)
			\(\displaystyle \small 13y^{\,10}\)
				\(\displaystyle -\)	\(\displaystyle \small\color{orange}{\bf -9y^{\,8}}\)
					\(\displaystyle \small -9y^{\,8}\)
					\(\displaystyle \small0\)

С учетом найденного частного запишите разложение на множители:

\(\displaystyle y^{\,18}+13y^{\,10}-9y^{\,8}=y^{\, 5}\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)