Algebra Examples

$x (x + 1) + (2 x^{3} + x)$

Step 1

Remove parentheses.

$x (x + 1) + 2 x^{3} + x$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$x \cdot x + x \cdot 1 + 2 x^{3} + x$

Step 2.2

Multiply $x$ by $x$ .

$x^{2} + x \cdot 1 + 2 x^{3} + x$

Step 2.3

Multiply $x$ by $1$ .

$x^{2} + x + 2 x^{3} + x$

$x^{2} + x + 2 x^{3} + x$

Step 3

Simplify by adding terms.

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Step 3.1

Add $x$ and $x$ .

$x^{2} + 2 x^{3} + 2 x$

Step 3.2

Reorder $x^{2}$ and $2 x^{3}$ .

$2 x^{3} + x^{2} + 2 x$

$2 x^{3} + x^{2} + 2 x$

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