Algebra Examples

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

Step 1

Reorder terms.

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

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

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

Step 2.2

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

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

Step 3

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

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

Step 4

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

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

Step 5

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

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Step 5.1

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

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

Step 5.2

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

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

Step 5.3

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

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