Đáp án:
$y^{12}.\bigg{(}\dfrac{x^6}{y^6}-1\bigg{)}.\bigg{(}\dfrac{x^6}{y^6}-2\bigg{)}$
Giải thích các bước giải:
$x^{12}-3x^6y^6+2y^{12}$
$=y^{12}.\bigg{[}\left(\dfrac{x}{y}\right)^{12}-3.\left(\dfrac{x}{y}\right)^6+2\bigg{]}$
$=y^{12}.\bigg{[}\left(\dfrac{x}{y}\right)^{12}-\left(\dfrac{x}{y}\right)^6-2.\left(\dfrac{x}{y}\right)^6+2\bigg{]}$
$=y^{12}.\bigg{\{}\left(\dfrac{x}{y}\right)^6\bigg{[}\left(\dfrac{x}{y}\right)^6-1\bigg{]}-2.\bigg{[}\left(\dfrac{x}{y}\right)^6-1\bigg{]}\bigg{\}}$
$=y^{12}.\bigg{(}\dfrac{x^6}{y^6}-1\bigg{)}.\bigg{(}\dfrac{x^6}{y^6}-2\bigg{)}$.
