Algebra Examples

$(3 x + x^{2} - x^{3}) - (x^{3} + 2 x^{2} + 5 x)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 x + x^{2} - x^{3} - x^{3} - (2 x^{2}) - (5 x)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $2$ by $- 1$ .

$3 x + x^{2} - x^{3} - x^{3} - 2 x^{2} - (5 x)$

Step 1.2.2

Multiply $5$ by $- 1$ .

$3 x + x^{2} - x^{3} - x^{3} - 2 x^{2} - 5 x$

$3 x + x^{2} - x^{3} - x^{3} - 2 x^{2} - 5 x$

$3 x + x^{2} - x^{3} - x^{3} - 2 x^{2} - 5 x$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5 x$ from $3 x$ .

$x^{2} - x^{3} - x^{3} - 2 x^{2} - 2 x$

Step 2.2

Subtract $2 x^{2}$ from $x^{2}$ .

$- x^{3} - x^{3} - x^{2} - 2 x$

Step 2.3

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

$- 2 x^{3} - x^{2} - 2 x$

$- 2 x^{3} - x^{2} - 2 x$

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