Basic Math Examples

$3 (a + 3 b) + 6 (4 a + b)$

Step 1

Factor $3$ out of $3 (a + 3 b) + 6 (4 a + b)$ .

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Step 1.1

Factor $3$ out of $6 (4 a + b)$ .

$3 (a + 3 b) + 3 (2 (4 a + b))$

Step 1.2

Factor $3$ out of $3 (a + 3 b) + 3 (2 (4 a + b))$ .

$3 (a + 3 b + 2 (4 a + b))$

Step 2

Apply the distributive property.

$3 (a + 3 b + 2 (4 a) + 2 b)$

Step 3

Multiply $4$ by $2$ .

$3 (a + 3 b + 8 a + 2 b)$

Step 4

Add $a$ and $8 a$ .

$3 (9 a + 3 b + 2 b)$

Step 5

Add $3 b$ and $2 b$ .

$3 (9 a + 5 b)$