Pre-Algebra Examples

$x + 2 \div 2 x^{3} - x^{2} + 3 x - 1$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

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

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Cancel the common factor.

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

Step 1.2.2

Rewrite the expression.

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Add $x$ and $3 x$ .

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

Step 2.2

Simplify the expression.

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Step 2.2.1

Move $\frac{1}{x^{3}}$ .

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

Step 2.2.2

Reorder $4 x$ and $- x^{2}$ .

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

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$