Algebra Examples

$2 a x + 10 x + 5 + a + 5 b + a b$

Step 1

Regroup terms.

$2 a x + a + a b + 10 x + 5 + 5 b$

Step 2

Factor $a$ out of $2 a x + a + a b$ .

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Step 2.1

Factor $a$ out of $2 a x$ .

$a (2 x) + a + a b + 10 x + 5 + 5 b$

Step 2.2

Raise $a$ to the power of $1$ .

$a (2 x) + a^{1} + a b + 10 x + 5 + 5 b$

Step 2.3

Factor $a$ out of $a^{1}$ .

$a (2 x) + a \cdot 1 + a b + 10 x + 5 + 5 b$

Step 2.4

Factor $a$ out of $a b$ .

$a (2 x) + a \cdot 1 + a (b) + 10 x + 5 + 5 b$

Step 2.5

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

$a (2 x + 1) + a (b) + 10 x + 5 + 5 b$

Step 2.6

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

$a (2 x + 1 + b) + 10 x + 5 + 5 b$

Step 3

Factor $5$ out of $10 x + 5 + 5 b$ .

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Step 3.1

Factor $5$ out of $10 x$ .

$a (2 x + 1 + b) + 5 (2 x) + 5 + 5 b$

Step 3.2

Factor $5$ out of $5$ .

$a (2 x + 1 + b) + 5 (2 x) + 5 \cdot 1 + 5 b$

Step 3.3

Factor $5$ out of $5 (2 x) + 5 \cdot 1$ .

$a (2 x + 1 + b) + 5 (2 x + 1) + 5 b$

Step 3.4

Factor $5$ out of $5 (2 x + 1) + 5 b$ .

$a (2 x + 1 + b) + 5 (2 x + 1 + b)$

Step 4

Factor $2 x + 1 + b$ out of $a (2 x + 1 + b) + 5 (2 x + 1 + b)$ .

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Step 4.1

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

$(2 x + 1 + b) a + 5 (2 x + 1 + b)$

Step 4.2

Factor $2 x + 1 + b$ out of $5 (2 x + 1 + b)$ .

$(2 x + 1 + b) a + (2 x + 1 + b) \cdot 5$

Step 4.3

Factor $2 x + 1 + b$ out of $(2 x + 1 + b) a + (2 x + 1 + b) \cdot 5$ .

$(2 x + 1 + b) (a + 5)$