Algebra Examples

$x^{2} + b x - a x - a b$

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.

$(x^{2} + b x) - a x - a b$

Step 1.2

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

$x (x + b) - a (x + b)$

Step 2

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

$(x + b) (x - a)$