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Algebra Examples

x^{3} + 3 x + 3

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

- x^{3} - 3

$- x^{3} - 3$

Step 1

Subtract the second expression

- x^{3} - 3

$- x^{3} - 3$ from the first expression

x^{3} + 3 x + 3

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

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

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

Step 2.2

Multiply

- - x^{3}

$- - x^{3}$ .

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Step 2.2.1

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

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

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

Step 2.2.2

Multiply

x^{3}

$x^{3}$ by

1

$1$ .

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

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

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

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

Step 2.3

Multiply

- 1

$- 1$ by

- 3

$- 3$ .

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

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

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

$x^{3}$ and

x^{3}

$x^{3}$ .

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

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

Step 3.2

Add

3

$3$ and

3

$3$ .

2 x^{3} + 3 x + 6

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

2 x^{3} + 3 x + 6

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

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

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