Pre-Algebra Examples

x^{3} + 2 x - 1

$x^{3} + 2 x - 1$ and

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

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

Step 1

Add the expressions.

x^{3} + 2 x - 1 + x^{4} - x^{3} + 3

$x^{3} + 2 x - 1 + x^{4} - x^{3} + 3$

Step 2

Combine the opposite terms in

x^{3} + 2 x - 1 + x^{4} - x^{3} + 3

$x^{3} + 2 x - 1 + x^{4} - x^{3} + 3$ .

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Step 2.1

Subtract

x^{3}

$x^{3}$ from

x^{3}

$x^{3}$ .

2 x - 1 + x^{4} + 0 + 3

$2 x - 1 + x^{4} + 0 + 3$

Step 2.2

Add

2 x - 1 + x^{4}

$2 x - 1 + x^{4}$ and

0

$0$ .

2 x - 1 + x^{4} + 3

$2 x - 1 + x^{4} + 3$

2 x - 1 + x^{4} + 3

$2 x - 1 + x^{4} + 3$

Step 3

Simplify the expression.

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Step 3.1

Add

- 1

$- 1$ and

3

$3$ .

2 x + x^{4} + 2

$2 x + x^{4} + 2$

Step 3.2

Reorder

2 x

$2 x$ and

x^{4}

$x^{4}$ .

x^{4} + 2 x + 2

$x^{4} + 2 x + 2$

x^{4} + 2 x + 2

$x^{4} + 2 x + 2$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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