Basic Math Examples

$q = m^{2} - \frac{t^{2} - 45}{t - 4}$

Step 1

To write $m^{2}$ as a fraction with a common denominator, multiply by $\frac{t - 4}{t - 4}$ .

$q = \frac{m^{2} (t - 4)}{t - 4} - \frac{t^{2} - 45}{t - 4}$

Step 2

Combine the numerators over the common denominator.

$q = \frac{m^{2} (t - 4) - (t^{2} - 45)}{t - 4}$

Step 3

Simplify the numerator.

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Step 3.1

Apply the distributive property.

$q = \frac{m^{2} t + m^{2} \cdot - 4 - (t^{2} - 45)}{t - 4}$

Step 3.2

Move $- 4$ to the left of $m^{2}$ .

$q = \frac{m^{2} t - 4 \cdot m^{2} - (t^{2} - 45)}{t - 4}$

Step 3.3

Apply the distributive property.

$q = \frac{m^{2} t - 4 m^{2} - t^{2} - - 45}{t - 4}$

Step 3.4

Multiply $- 1$ by $- 45$ .

$q = \frac{m^{2} t - 4 m^{2} - t^{2} + 45}{t - 4}$