Algebra Examples

$x^{3} + 3 x + 3$ , $- x^{3} - 3$

Step 1

Subtract the second expression $- x^{3} - 3$ from the first expression $x^{3} + 3 x + 3$ .

$x^{3} + 3 x + 3 - (- x^{3} - 3)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $- - x^{3}$ .

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$x^{3} + 3 x + 3 + 1 x^{3} - - 3$

Step 2.2.2

Multiply $x^{3}$ by $1$ .

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

Step 2.3

Multiply $- 1$ by $- 3$ .

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

Step 3

Simplify by adding terms.

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Step 3.1

Add $x^{3}$ and $x^{3}$ .

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

Step 3.2

Add $3$ and $3$ .

$2 x^{3} + 3 x + 6$

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