Factor x^9y^9-x^8y^7+x^7y^6+x^6y^6

$x^{9} y^{9} - x^{8} y^{7} + x^{7} y^{6} + x^{6} y^{6}$

Step 1

Factor $x^{6} y^{6}$ out of $x^{9} y^{9}$ .

$x^{6} y^{6} (x^{3} y^{3}) - x^{8} y^{7} + x^{7} y^{6} + x^{6} y^{6}$

Step 2

Factor $x^{6} y^{6}$ out of $- x^{8} y^{7}$ .

$x^{6} y^{6} (x^{3} y^{3}) + x^{6} y^{6} (- x^{2} y) + x^{7} y^{6} + x^{6} y^{6}$

Step 3

Factor $x^{6} y^{6}$ out of $x^{7} y^{6}$ .

$x^{6} y^{6} (x^{3} y^{3}) + x^{6} y^{6} (- x^{2} y) + x^{6} y^{6} (x) + x^{6} y^{6}$

Step 4

Factor $x^{6} y^{6}$ out of $x^{6} y^{6}$ .

$x^{6} y^{6} (x^{3} y^{3}) + x^{6} y^{6} (- x^{2} y) + x^{6} y^{6} (x) + x^{6} y^{6} (1)$

Step 5

Factor $x^{6} y^{6}$ out of $x^{6} y^{6} (x^{3} y^{3}) + x^{6} y^{6} (- x^{2} y)$ .

$x^{6} y^{6} (x^{3} y^{3} - x^{2} y) + x^{6} y^{6} (x) + x^{6} y^{6} (1)$

Step 6

Factor $x^{6} y^{6}$ out of $x^{6} y^{6} (x^{3} y^{3} - x^{2} y) + x^{6} y^{6} (x)$ .

$x^{6} y^{6} (x^{3} y^{3} - x^{2} y + x) + x^{6} y^{6} (1)$

Step 7

Factor $x^{6} y^{6}$ out of $x^{6} y^{6} (x^{3} y^{3} - x^{2} y + x) + x^{6} y^{6} (1)$ .

$x^{6} y^{6} (x^{3} y^{3} - x^{2} y + x + 1)$