Algebra Examples

$(x + 2) (x - 12) - (3 x + 4) (x + 2)$

Step 1

Factor $x + 2$ out of $(x + 2) (x - 12) - (3 x + 4) (x + 2)$ .

Tap for more steps...

Step 1.1

Factor $x + 2$ out of $- (3 x + 4) (x + 2)$ .

$(x + 2) (x - 12) + (x + 2) (- (3 x + 4))$

Step 1.2

Factor $x + 2$ out of $(x + 2) (x - 12) + (x + 2) (- (3 x + 4))$ .

$(x + 2) (x - 12 - (3 x + 4))$

$(x + 2) (x - 12 - (3 x + 4))$

Step 2

Apply the distributive property.

$(x + 2) (x - 12 - (3 x) - 1 \cdot 4)$

Step 3

Multiply $3$ by $- 1$ .

$(x + 2) (x - 12 - 3 x - 1 \cdot 4)$

Step 4

Multiply $- 1$ by $4$ .

$(x + 2) (x - 12 - 3 x - 4)$

Step 5

Subtract $3 x$ from $x$ .

$(x + 2) (- 2 x - 12 - 4)$

Step 6

Subtract $4$ from $- 12$ .

$(x + 2) (- 2 x - 16)$

Step 7

Factor.

Tap for more steps...

Step 7.1

Factor $2$ out of $- 2 x - 16$ .

Tap for more steps...

Step 7.1.1

Factor $2$ out of $- 2 x$ .

$(x + 2) (2 (- x) - 16)$

Step 7.1.2

Factor $2$ out of $- 16$ .

$(x + 2) (2 (- x) + 2 (- 8))$

Step 7.1.3

Factor $2$ out of $2 (- x) + 2 (- 8)$ .

$(x + 2) (2 (- x - 8))$

$(x + 2) (2 (- x - 8))$

Step 7.2

Remove unnecessary parentheses.

$(x + 2) \cdot 2 (- x - 8)$

$(x + 2) \cdot 2 (- x - 8)$

Step 8

Factor.

Tap for more steps...

Step 8.1

Factor $- 1$ out of $- x - 8$ .

Tap for more steps...

Step 8.1.1

Factor $- 1$ out of $- x$ .

$(x + 2) \cdot 2 (- (x) - 8)$

Step 8.1.2

Rewrite $- 8$ as $- 1 (8)$ .

$(x + 2) \cdot 2 (- (x) - 1 (8))$

Step 8.1.3

Factor $- 1$ out of $- (x) - 1 (8)$ .

$(x + 2) \cdot 2 (- (x + 8))$

$(x + 2) \cdot 2 (- (x + 8))$

Step 8.2

Remove unnecessary parentheses.

$(x + 2) \cdot 2 \cdot - 1 (x + 8)$

$(x + 2) \cdot 2 \cdot - 1 (x + 8)$

Step 9

Combine exponents.

Tap for more steps...

Step 9.1

Factor out negative.

$- ((x + 2) \cdot 2 (x + 8))$

Step 9.2

Multiply $2$ by $- 1$ .

$- 2 ((x + 2) (x + 8))$

$- 2 ((x + 2) (x + 8))$

Step 10

Remove unnecessary parentheses.

$- 2 (x + 2) (x + 8)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$