Найдите частное при делении многочлена \(\displaystyle 35w^{\,12}-56w^{\,9}\) на одночлен \(\displaystyle 7w^{\,4}\) в столбик при известном процессе деления:

\(\displaystyle -\)	\(\displaystyle \small\color{blue}{\bf 35w^{\,12}}\)	\(\displaystyle -\)	\(\displaystyle \small 56w^{\,9}\)	\(\displaystyle \small 7w^{\,4}\)
	\(\displaystyle \small 35w^{\,12}\)			[ ]	[ ]
		\(\displaystyle -\)	\(\displaystyle \small \color{yellowgreen}{\bf -56w^{\,9}}\)
			\(\displaystyle \small -56w^{\,9}\)
			\(\displaystyle \small 0\)

С учетом найденного частного запишите разложение на множители:

\(\displaystyle 35w^{\,12}-56w^{\,9}=7w^{\,4}\cdot \big(\)[ ]\(\displaystyle \big){\small . }\)