Algebra Examples

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

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

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

Step 1.2

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

$1 (x - y) + x (x - 1 y)$

Step 2

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

$(x - y) (1 + x)$