Algebra Examples

$x (b + c) + 3 b + 3 c$

Step 1

Apply the distributive property.

$x b + x c + 3 b + 3 c$

Step 2

Rewrite $x b + x c + 3 b + 3 c$ 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.

$(x b + x c) + 3 b + 3 c$

Step 2.1.2

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

$x (b + c) + 3 (b + c)$

Step 2.2

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

$(b + c) (x + 3)$