Calculus Examples

$x^{2} - \frac{10}{x}$

Step 1

To write $x^{2}$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{x^{2} x}{x} - \frac{10}{x}$

Step 2

Combine the numerators over the common denominator.

$\frac{x^{2} x - 10}{x}$

Step 3

Multiply $x^{2}$ by $x$ by adding the exponents.

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Step 3.1

Multiply $x^{2}$ by $x$ .

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Step 3.1.1

Raise $x$ to the power of $1$ .

$\frac{x^{2} x^{1} - 10}{x}$

Step 3.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{x^{2 + 1} - 10}{x}$

Step 3.2

Add $2$ and $1$ .

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