Calculus Examples

$- \frac{2 (6) (3)}{12 (- 1) + 6}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $2$ and $12 (- 1) + 6$ .

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Step 1.1.1

Factor $2$ out of $2 (6) (3)$ .

$- \frac{2 ((6) \cdot (3))}{12 (- 1) + 6}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $12 (- 1)$ .

$- \frac{2 ((6) \cdot (3))}{2 (6 \cdot - 1) + 6}$

Step 1.1.2.2

Factor $2$ out of $6$ .

$- \frac{2 ((6) \cdot (3))}{2 (6 \cdot - 1) + 2 \cdot 3}$

Step 1.1.2.3

Factor $2$ out of $2 (6 \cdot - 1) + 2 (3)$ .

$- \frac{2 ((6) \cdot (3))}{2 (6 \cdot - 1 + 3)}$

Step 1.1.2.4

Cancel the common factor.

$- \frac{2 ((6) \cdot (3))}{2 (6 \cdot - 1 + 3)}$

Step 1.1.2.5

Rewrite the expression.

$- \frac{(6) \cdot (3)}{6 \cdot - 1 + 3}$

Step 1.2

Cancel the common factor of $6$ and $6 \cdot - 1 + 3$ .

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Step 1.2.1

Factor $3$ out of $(6) \cdot (3)$ .

$- \frac{3 ((2) \cdot 3)}{6 \cdot - 1 + 3}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $3$ out of $6 \cdot - 1$ .

$- \frac{3 ((2) \cdot 3)}{3 (2 \cdot - 1) + 3}$

Step 1.2.2.2

Factor $3$ out of $3$ .

$- \frac{3 ((2) \cdot 3)}{3 (2 \cdot - 1) + 3 (1)}$

Step 1.2.2.3

Factor $3$ out of $3 (2 \cdot - 1) + 3 (1)$ .

$- \frac{3 ((2) \cdot 3)}{3 (2 \cdot - 1 + 1)}$

Step 1.2.2.4

Cancel the common factor.

$- \frac{3 ((2) \cdot 3)}{3 (2 \cdot - 1 + 1)}$

Step 1.2.2.5

Rewrite the expression.

$- \frac{(2) \cdot 3}{2 \cdot - 1 + 1}$

Step 1.3

Multiply $2$ by $3$ .

$- \frac{6}{2 \cdot - 1 + 1}$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $2$ by $- 1$ .

$- \frac{6}{- 2 + 1}$

Step 2.2

Add $- 2$ and $1$ .

$- \frac{6}{- 1}$

Step 3

Simplify the expression.

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Step 3.1

Divide $6$ by $- 1$ .

$- - 6$

Step 3.2

Multiply $- 1$ by $- 6$ .

$6$