Pre-Algebra Examples

$\frac{x^{n + 2} + A x^{n}}{x^{n}}$

Step 1

Split the fraction $\frac{x^{n + 2} + A x^{n}}{x^{n}}$ into two fractions.

$\frac{x^{n + 2}}{x^{n}} + \frac{A x^{n}}{x^{n}}$

Step 2

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

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Step 2.1

Factor $x^{n}$ out of $x^{n + 2}$ .

$\frac{x^{n} x^{2}}{x^{n}} + \frac{A x^{n}}{x^{n}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{x^{n} x^{2}}{x^{n} \cdot 1} + \frac{A x^{n}}{x^{n}}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{n} x^{2}}{x^{n} \cdot 1} + \frac{A x^{n}}{x^{n}}$

Step 2.2.3

Rewrite the expression.

$\frac{x^{2}}{1} + \frac{A x^{n}}{x^{n}}$

Step 2.2.4

Divide $x^{2}$ by $1$ .

$x^{2} + \frac{A x^{n}}{x^{n}}$

Step 3

Cancel the common factor of $x^{n}$ .

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Step 3.1

Cancel the common factor.

$x^{2} + \frac{A x^{n}}{x^{n}}$

Step 3.2

Divide $A$ by $1$ .

$x^{2} + A$