Simplify x(x+1)+(2x^3+x)

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

Remove parentheses.

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

Simplify each term.

Apply the distributive property.

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

Multiply $x$ by $x$ .

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

Multiply $x$ by $1$ .

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

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

Simplify by adding terms.

Add $x$ and $x$ .

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

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

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

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

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