Basic Math Examples

$\frac{i \cdot 1}{3} \cdot (9 a + b) - \frac{1}{2} \cdot (4 a + 2 b)$

Step 1

Factor $\frac{1}{6}$ out of each term.

$\frac{1}{6} (18 i a + 2 i b - 12 a - 6 b)$

Step 2

Factor.

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Step 2.1

Factor $2$ out of $18 i a + 2 i b - 12 a - 6 b$ .

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Step 2.1.1

Factor $2$ out of $18 i a$ .

$\frac{1}{6} \cdot (2 (9 i a) + 2 i b - 12 a - 6 b)$

Step 2.1.2

Factor $2$ out of $2 i b$ .

$\frac{1}{6} \cdot (2 (9 i a) + 2 (i b) - 12 a - 6 b)$

Step 2.1.3

Factor $2$ out of $- 12 a$ .

$\frac{1}{6} \cdot (2 (9 i a) + 2 (i b) + 2 (- 6 a) - 6 b)$

Step 2.1.4

Factor $2$ out of $- 6 b$ .

$\frac{1}{6} \cdot (2 (9 i a) + 2 (i b) + 2 (- 6 a) + 2 (- 3 b))$

Step 2.1.5

Factor $2$ out of $2 (9 i a) + 2 (i b)$ .

$\frac{1}{6} \cdot (2 (9 i a + i b) + 2 (- 6 a) + 2 (- 3 b))$

Step 2.1.6

Factor $2$ out of $2 (9 i a + i b) + 2 (- 6 a)$ .

$\frac{1}{6} \cdot (2 (9 i a + i b - 6 a) + 2 (- 3 b))$

Step 2.1.7

Factor $2$ out of $2 (9 i a + i b - 6 a) + 2 (- 3 b)$ .

$\frac{1}{6} \cdot (2 (9 i a + i b - 6 a - 3 b))$

Step 2.2

Remove unnecessary parentheses.

$\frac{1}{6} \cdot 2 (9 i a + i b - 6 a - 3 b)$

Step 3

Combine $\frac{1}{6}$ and $2$ .

$\frac{2}{6} (9 i a + i b - 6 a - 3 b)$

Step 4

Cancel the common factor of $2$ and $6$ .

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Step 4.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{6} \cdot (9 i a + i b - 6 a - 3 b)$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 1}{2 \cdot 3} \cdot (9 i a + i b - 6 a - 3 b)$

Step 4.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 3} \cdot (9 i a + i b - 6 a - 3 b)$

Step 4.2.3

Rewrite the expression.

$\frac{1}{3} \cdot (9 i a + i b - 6 a - 3 b)$