Pre-Algebra Examples

$\frac{x^{3 n} - x^{2 n} + 4 x^{n} - 4}{x^{n} - 1}$

Step 1

Split the fraction $\frac{x^{3 n} - x^{2 n} + 4 x^{n} - 4}{x^{n} - 1}$ into two fractions.

$\frac{x^{3 n} - x^{2 n} + 4 x^{n}}{x^{n} - 1} + \frac{- 4}{x^{n} - 1}$

Step 2

Split the fraction $\frac{x^{3 n} - x^{2 n} + 4 x^{n}}{x^{n} - 1}$ into two fractions.

$\frac{x^{3 n} - x^{2 n}}{x^{n} - 1} + \frac{4 x^{n}}{x^{n} - 1} + \frac{- 4}{x^{n} - 1}$

Step 3

Split the fraction $\frac{x^{3 n} - x^{2 n}}{x^{n} - 1}$ into two fractions.

$\frac{x^{3 n}}{x^{n} - 1} + \frac{- x^{2 n}}{x^{n} - 1} + \frac{4 x^{n}}{x^{n} - 1} + \frac{- 4}{x^{n} - 1}$

Step 4

Move the negative in front of the fraction.

$\frac{x^{3 n}}{x^{n} - 1} - \frac{x^{2 n}}{x^{n} - 1} + \frac{4 x^{n}}{x^{n} - 1} + \frac{- 4}{x^{n} - 1}$

Step 5

Move the negative in front of the fraction.

$\frac{x^{3 n}}{x^{n} - 1} - \frac{x^{2 n}}{x^{n} - 1} + \frac{4 x^{n}}{x^{n} - 1} - \frac{4}{x^{n} - 1}$