Algebra Examples

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

Step 1

Factor $- (x + 1)$ out of $(1 + 3 a) (x + 1) - 2 a (x + 1) + 3 (x + 1)$ .

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Step 1.1

Reorder $1$ and $3 a$ .

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

Step 1.2

Factor $- (x + 1)$ out of $(3 a + 1) (x + 1)$ .

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

Step 1.3

Factor $- (x + 1)$ out of $- 2 a (x + 1)$ .

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

Step 1.4

Factor $- (x + 1)$ out of $3 (x + 1)$ .

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

Step 1.5

Factor $- (x + 1)$ out of $- (x + 1) (- 3 a - 1) - (x + 1) (2 a)$ .

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

Step 1.6

Factor $- (x + 1)$ out of $- (x + 1) (- 3 a - 1 + 2 a) - (x + 1) (- 3)$ .

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

Step 2

Regroup terms.

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

Step 3

Add $- 3 a$ and $2 a$ .

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

Step 4

Subtract $3$ from $- 1$ .

$- (x + 1) (- a - 4)$

Step 5

Factor.

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Step 5.1

Factor $- 1$ out of $- a - 4$ .

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Step 5.1.1

Factor $- 1$ out of $- a$ .

$- (x + 1) (- (a) - 4)$

Step 5.1.2

Rewrite $- 4$ as $- 1 (4)$ .

$- (x + 1) (- (a) - 1 (4))$

Step 5.1.3

Factor $- 1$ out of $- (a) - 1 (4)$ .

$- (x + 1) (- (a + 4))$

Step 5.2

Remove unnecessary parentheses.

$- (x + 1) \cdot - 1 (a + 4)$

Step 6

Combine exponents.

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Step 6.1

Factor out negative.

$- ((x + 1) \cdot - 1 (a + 4))$

Step 6.2

Multiply $- 1$ by $- 1$ .

$1 ((x + 1) (a + 4))$

Step 6.3

Multiply $x + 1$ by $1$ .

$(x + 1) (a + 4)$