Algebra Examples

$(x^{2} - 3 x + 4) - (3 x + x^{3} - 4)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$x^{2} - 3 x + 4 - (3 x) - x^{3} - - 4$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $3$ by $- 1$ .

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

Step 1.2.2

Multiply $- 1$ by $- 4$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $3 x$ from $- 3 x$ .

$x^{2} - 6 x + 4 - x^{3} + 4$

Step 2.2

Add $4$ and $4$ .

$x^{2} - 6 x - x^{3} + 8$

$x^{2} - 6 x - x^{3} + 8$

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