Algebra Examples

$x^{2} + 3 x y - 4 x - 12 y$

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.

$(x^{2} + 3 x y) - 4 x - 12 y$

Step 1.2

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

$x (x + 3 y) - 4 (x + 3 y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + 3 y$ .

$(x + 3 y) (x - 4)$