Đại số Ví dụ

$x^{6} y^{6} - x^{5} y^{4} + x^{4} y^{3} + x^{3} y^{3}$

Bước 1

Đưa $x^{3} y^{3}$ ra ngoài $x^{6} y^{6}$ .

$x^{3} y^{3} (x^{3} y^{3}) - x^{5} y^{4} + x^{4} y^{3} + x^{3} y^{3}$

Bước 2

Đưa $x^{3} y^{3}$ ra ngoài $- x^{5} y^{4}$ .

$x^{3} y^{3} (x^{3} y^{3}) + x^{3} y^{3} (- x^{2} y) + x^{4} y^{3} + x^{3} y^{3}$

Bước 3

Đưa $x^{3} y^{3}$ ra ngoài $x^{4} y^{3}$ .

$x^{3} y^{3} (x^{3} y^{3}) + x^{3} y^{3} (- x^{2} y) + x^{3} y^{3} (x) + x^{3} y^{3}$

Bước 4

Đưa $x^{3} y^{3}$ ra ngoài $x^{3} y^{3}$ .

$x^{3} y^{3} (x^{3} y^{3}) + x^{3} y^{3} (- x^{2} y) + x^{3} y^{3} (x) + x^{3} y^{3} (1)$

Bước 5

Đưa $x^{3} y^{3}$ ra ngoài $x^{3} y^{3} (x^{3} y^{3}) + x^{3} y^{3} (- x^{2} y)$ .

$x^{3} y^{3} (x^{3} y^{3} - x^{2} y) + x^{3} y^{3} (x) + x^{3} y^{3} (1)$

Bước 6

Đưa $x^{3} y^{3}$ ra ngoài $x^{3} y^{3} (x^{3} y^{3} - x^{2} y) + x^{3} y^{3} (x)$ .

$x^{3} y^{3} (x^{3} y^{3} - x^{2} y + x) + x^{3} y^{3} (1)$

Bước 7

Đưa $x^{3} y^{3}$ ra ngoài $x^{3} y^{3} (x^{3} y^{3} - x^{2} y + x) + x^{3} y^{3} (1)$ .

$x^{3} y^{3} (x^{3} y^{3} - x^{2} y + x + 1)$