Finite Math Examples

$\frac{3 x^{3} + 7 x}{x - 7} - \frac{17 x + 77}{x - 7}$

Step 1

Combine the numerators over the common denominator.

$\frac{3 x^{3} + 7 x - (17 x + 77)}{x - 7}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{3 x^{3} + 7 x - (17 x) - 1 \cdot 77}{x - 7}$

Step 2.2

Multiply $17$ by $- 1$ .

$\frac{3 x^{3} + 7 x - 17 x - 1 \cdot 77}{x - 7}$

Step 2.3

Multiply $- 1$ by $77$ .

$\frac{3 x^{3} + 7 x - 17 x - 77}{x - 7}$

Step 3

Subtract $17 x$ from $7 x$ .

$\frac{3 x^{3} - 10 x - 77}{x - 7}$