Algebra Examples

$\frac{6 m^{0} - 2 n^{0}}{2 m^{0} - 6 n^{0}}$

Step 1

Cancel the common factor of $6 m^{0} - 2 n^{0}$ and $2 m^{0} - 6 n^{0}$ .

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Step 1.1

Factor $2$ out of $6 m^{0}$ .

$\frac{2 (3 m^{0}) - 2 n^{0}}{2 m^{0} - 6 n^{0}}$

Step 1.2

Factor $2$ out of $- 2 n^{0}$ .

$\frac{2 (3 m^{0}) + 2 (- n^{0})}{2 m^{0} - 6 n^{0}}$

Step 1.3

Factor $2$ out of $2 (3 m^{0}) + 2 (- n^{0})$ .

$\frac{2 (3 m^{0} - n^{0})}{2 m^{0} - 6 n^{0}}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $2 m^{0}$ .

$\frac{2 (3 m^{0} - n^{0})}{2 (m^{0}) - 6 n^{0}}$

Step 1.4.2

Factor $2$ out of $- 6 n^{0}$ .

$\frac{2 (3 m^{0} - n^{0})}{2 (m^{0}) + 2 (- 3 n^{0})}$

Step 1.4.3

Factor $2$ out of $2 (m^{0}) + 2 (- 3 n^{0})$ .

$\frac{2 (3 m^{0} - n^{0})}{2 (m^{0} - 3 n^{0})}$

Step 1.4.4

Cancel the common factor.

$\frac{2 (3 m^{0} - n^{0})}{2 (m^{0} - 3 n^{0})}$

Step 1.4.5

Rewrite the expression.

$\frac{3 m^{0} - n^{0}}{m^{0} - 3 n^{0}}$

Step 2

Simplify the numerator.

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Step 2.1

Anything raised to $0$ is $1$ .

$\frac{3 \cdot 1 - n^{0}}{m^{0} - 3 n^{0}}$

Step 2.2

Multiply $3$ by $1$ .

$\frac{3 - n^{0}}{m^{0} - 3 n^{0}}$

Step 2.3

Anything raised to $0$ is $1$ .

$\frac{3 - 1 \cdot 1}{m^{0} - 3 n^{0}}$

Step 2.4

Multiply $- 1$ by $1$ .

$\frac{3 - 1}{m^{0} - 3 n^{0}}$

Step 2.5

Subtract $1$ from $3$ .

$\frac{2}{m^{0} - 3 n^{0}}$

Step 3

Simplify the denominator.

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Step 3.1

Anything raised to $0$ is $1$ .

$\frac{2}{1 - 3 n^{0}}$

Step 3.2

Anything raised to $0$ is $1$ .

$\frac{2}{1 - 3 \cdot 1}$

Step 3.3

Multiply $- 3$ by $1$ .

$\frac{2}{1 - 3}$

Step 3.4

Subtract $3$ from $1$ .

$\frac{2}{- 2}$

Step 4

Divide $2$ by $- 2$ .

$- 1$