Basic Math Examples

$8 a (a + 3) - 2 a (12 + 4 a)$

Step 1

Factor $2 a$ out of $8 a (a + 3) - 2 a (12 + 4 a)$ .

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Step 1.1

Factor $2 a$ out of $8 a (a + 3)$ .

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

Step 1.2

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

$2 a (4 (a + 3)) + 2 a (- 1 (12 + 4 a))$

Step 1.3

Factor $2 a$ out of $2 a (4 (a + 3)) + 2 a (- 1 (12 + 4 a))$ .

$2 a (4 (a + 3) - 1 (12 + 4 a))$

Step 2

Apply the distributive property.

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

Step 3

Multiply $4$ by $3$ .

$2 a (4 a + 12 - 1 (12 + 4 a))$

Step 4

Apply the distributive property.

$2 a (4 a + 12 - 1 \cdot 12 - 1 (4 a))$

Step 5

Multiply $- 1$ by $12$ .

$2 a (4 a + 12 - 12 - 1 (4 a))$

Step 6

Multiply $4$ by $- 1$ .

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

Step 7

Subtract $4 a$ from $4 a$ .

$2 a (0 + 12 - 12)$

Step 8

Add $0$ and $12$ .

$2 a (12 - 12)$

Step 9

Subtract $12$ from $12$ .

$2 a \cdot 0$

Step 10

Combine exponents.

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Step 10.1

Multiply $0$ by $2$ .

$0 a$

Step 10.2

Multiply $0$ by $a$ .

$0$