Algebra Examples

$3 a x - 3 x + 4 y - 4 a y$

Step 1

Reorder terms.

$3 a x - 4 a y - 3 x + 4 y$

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.

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

Step 2.2

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

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

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 x - 4 y$ .

$(3 x - 4 y) (a - 1)$