Factor 11x-xy+11y-x^2

$11 x - x y + 11 y - x^{2}$

Reorder terms.

$- x^{2} - x y + 11 x + 11 y$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(- x^{2} - x y) + 11 x + 11 y$

Factor out the greatest common factor (GCF) from each group.

$x (- x - 1 y) - 11 (- x - y)$

Factor the polynomial by factoring out the greatest common factor, $- x - 1 y$ .

$(- x - 1 y) (x - 11)$

Rewrite $- 1 y$ as $- y$ .

$(- x - y) (x - 11)$

Factor $- 1$ out of $- x - y$ .

Factor $- 1$ out of $- x$ .

$(- (x) - y) (x - 11)$

Factor $- 1$ out of $- y$ .

$(- (x) - (y)) (x - 11)$

Factor $- 1$ out of $- (x) - (y)$ .

$- (x + y) (x - 11)$