Algebra Examples

$x z + y z - 5 (x + y)$

Step 1

Apply the distributive property.

$x z + y z - 5 x - 5 y$

Step 2

Rewrite $x z + y z - 5 x - 5 y$ in a factored form.

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Step 2.1

Factor out the greatest common factor from each group.

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Step 2.1.1

Group the first two terms and the last two terms.

$(x z + y z) - 5 x - 5 y$

Step 2.1.2

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

$z (x + y) - 5 (x + y)$

Step 2.2

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

$(x + y) (z - 5)$