Algebra Examples

$f (x) = \frac{x^{2} - 3}{x^{6}}$

Step 1

Simplify and reorder the polynomial.

Tap for more steps...

Step 1.1

Split the fraction $\frac{x^{2} - 3}{x^{6}}$ into two fractions.

$\frac{x^{2}}{x^{6}} + \frac{- 3}{x^{6}}$

Step 1.2

Simplify each term.

Tap for more steps...

Step 1.2.1

Cancel the common factor of $x^{2}$ and $x^{6}$ .

Tap for more steps...

Step 1.2.1.1

Multiply by $1$ .

$\frac{x^{2} \cdot 1}{x^{6}} + \frac{- 3}{x^{6}}$

Step 1.2.1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1.2.1

Factor $x^{2}$ out of $x^{6}$ .

$\frac{x^{2} \cdot 1}{x^{2} x^{4}} + \frac{- 3}{x^{6}}$

Step 1.2.1.2.2

Cancel the common factor.

$\frac{x^{2} \cdot 1}{x^{2} x^{4}} + \frac{- 3}{x^{6}}$

Step 1.2.1.2.3

Rewrite the expression.

$\frac{1}{x^{4}} + \frac{- 3}{x^{6}}$

Step 1.2.2

Move the negative in front of the fraction.

$\frac{1}{x^{4}} - \frac{3}{x^{6}}$

Step 2

The degree cannot be determined because $\frac{1}{x^{4}} - \frac{3}{x^{6}}$ is not a polynomial.

Not a polynomial