Factor x^7y^7-x^6y^5+x^5y^4+x^4y^4

$x^{7} y^{7} - x^{6} y^{5} + x^{5} y^{4} + x^{4} y^{4}$

Step 1

Factor $x^{4} y^{4}$ out of $x^{7} y^{7}$ .

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

Step 2

Factor $x^{4} y^{4}$ out of $- x^{6} y^{5}$ .

$x^{4} y^{4} (x^{3} y^{3}) + x^{4} y^{4} (- x^{2} y) + x^{5} y^{4} + x^{4} y^{4}$

Step 3

Factor $x^{4} y^{4}$ out of $x^{5} y^{4}$ .

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

Step 4

Factor $x^{4} y^{4}$ out of $x^{4} y^{4}$ .

$x^{4} y^{4} (x^{3} y^{3}) + x^{4} y^{4} (- x^{2} y) + x^{4} y^{4} (x) + x^{4} y^{4} (1)$

Step 5

Factor $x^{4} y^{4}$ out of $x^{4} y^{4} (x^{3} y^{3}) + x^{4} y^{4} (- x^{2} y)$ .

$x^{4} y^{4} (x^{3} y^{3} - x^{2} y) + x^{4} y^{4} (x) + x^{4} y^{4} (1)$

Step 6

Factor $x^{4} y^{4}$ out of $x^{4} y^{4} (x^{3} y^{3} - x^{2} y) + x^{4} y^{4} (x)$ .

$x^{4} y^{4} (x^{3} y^{3} - x^{2} y + x) + x^{4} y^{4} (1)$

Step 7

Factor $x^{4} y^{4}$ out of $x^{4} y^{4} (x^{3} y^{3} - x^{2} y + x) + x^{4} y^{4} (1)$ .

$x^{4} y^{4} (x^{3} y^{3} - x^{2} y + x + 1)$