Finite Math Examples

$(2 m^{2}) - \frac{1}{m^{2}}$

Step 1

To write $2 m^{2}$ as a fraction with a common denominator, multiply by $\frac{m^{2}}{m^{2}}$ .

$\frac{2 m^{2} m^{2}}{m^{2}} - \frac{1}{m^{2}}$

Step 2

Combine the numerators over the common denominator.

$\frac{2 m^{2} m^{2} - 1}{m^{2}}$

Step 3

Multiply $m^{2}$ by $m^{2}$ by adding the exponents.

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Step 3.1

Move $m^{2}$ .

$\frac{2 (m^{2} m^{2}) - 1}{m^{2}}$

Step 3.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{2 m^{2 + 2} - 1}{m^{2}}$

Step 3.3

Add $2$ and $2$ .

$\frac{2 m^{4} - 1}{m^{2}}$