Найдите частное при делении многочлена \(\displaystyle 56v^{\,15}-72v^{\,12}+24v^{\,10}\) на одночлен \(\displaystyle 8v^{\,6}\) в столбик, при известном процессе деления:

\(\displaystyle -\)	\(\displaystyle \small\color{blue}{\bf 56v^{\,15}}\)	\(\displaystyle -\)	\(\displaystyle \small 72v^{\,12}\)	\(\displaystyle +\)	\(\displaystyle \small 24v^{\,10}\)	\(\displaystyle \small 8v^{\,6}\)
	\(\displaystyle \small 56v^{\,15}\)					[ ]	[ ]	[ ]
		\(\displaystyle -\)	\(\displaystyle \small\color{yellowgreen}{\bf -72v^{\,12}}\)	\(\displaystyle +\)	\(\displaystyle \small 24v^{\,10}\)
			\(\displaystyle \small -72v^{\,12}\)
				\(\displaystyle -\)	\(\displaystyle \small\color{orange}{\bf 24v^{\,10}}\)
					\(\displaystyle \small 24v^{\,10}\)
					\(\displaystyle \small0\)

С учетом найденного частного запишите разложение на множители:

\(\displaystyle 56v^{\,15}-72v^{\,12}+24v^{\,10}=8v^{\, 6}\cdot\big(\)[ ]\(\displaystyle \big){\small . }\)