Factor x^5y^5-x^4y^3+x^3y^2+x^2y^2

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

Step 1

Factor $x^{2} y^{2}$ out of $x^{5} y^{5}$ .

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

Step 2

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

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

Step 3

Factor $x^{2} y^{2}$ out of $x^{3} y^{2}$ .

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

Step 4

Factor $x^{2} y^{2}$ out of $x^{2} y^{2}$ .

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

Step 5

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

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

Step 6

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

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

Step 7

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

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