Algebra Examples

$3 a b (x + 1) - 2 (x + 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 a b x + 3 a b \cdot 1 - 2 (x + 1)$

Step 1.2

Multiply $3$ by $1$ .

$3 a b x + 3 a b - 2 (x + 1)$

Step 1.3

Apply the distributive property.

$3 a b x + 3 a b - 2 x - 2 \cdot 1$

Step 1.4

Multiply $- 2$ by $1$ .

$3 a b x + 3 a b - 2 x - 2$

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.

$(3 a b x + 3 a b) - 2 x - 2$

Step 2.2

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

$3 a b (x + 1) - 2 (x + 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $x + 1$ .

$(x + 1) (3 a b - 2)$