Algebra Examples

$(- 9 - 13 x + 3 x^{3}) - (- x + 4 x^{3} - 9)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 9 - 13 x + 3 x^{3} - - x - (4 x^{3}) - - 9$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- - x$ .

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Step 1.2.1.1

Multiply $- 1$ by $- 1$ .

$- 9 - 13 x + 3 x^{3} + 1 x - (4 x^{3}) - - 9$

Step 1.2.1.2

Multiply $x$ by $1$ .

$- 9 - 13 x + 3 x^{3} + x - (4 x^{3}) - - 9$

$- 9 - 13 x + 3 x^{3} + x - (4 x^{3}) - - 9$

Step 1.2.2

Multiply $4$ by $- 1$ .

$- 9 - 13 x + 3 x^{3} + x - 4 x^{3} - - 9$

Step 1.2.3

Multiply $- 1$ by $- 9$ .

$- 9 - 13 x + 3 x^{3} + x - 4 x^{3} + 9$

$- 9 - 13 x + 3 x^{3} + x - 4 x^{3} + 9$

$- 9 - 13 x + 3 x^{3} + x - 4 x^{3} + 9$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $- 9 - 13 x + 3 x^{3} + x - 4 x^{3} + 9$ .

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Step 2.1.1

Add $- 9$ and $9$ .

$- 13 x + 3 x^{3} + x - 4 x^{3} + 0$

Step 2.1.2

Add $- 13 x + 3 x^{3} + x - 4 x^{3}$ and $0$ .

$- 13 x + 3 x^{3} + x - 4 x^{3}$

$- 13 x + 3 x^{3} + x - 4 x^{3}$

Step 2.2

Add $- 13 x$ and $x$ .

$3 x^{3} - 12 x - 4 x^{3}$

Step 2.3

Subtract $4 x^{3}$ from $3 x^{3}$ .

$- x^{3} - 12 x$

$- x^{3} - 12 x$

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