Algebra Examples

$(x^{3} - 8 x^{4} - 5) - (3 x^{4} - 6 x - 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$x^{3} - 8 x^{4} - 5 - (3 x^{4}) - (- 6 x) - - 3$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $3$ by $- 1$ .

$x^{3} - 8 x^{4} - 5 - 3 x^{4} - (- 6 x) - - 3$

Step 1.2.2

Multiply $- 6$ by $- 1$ .

$x^{3} - 8 x^{4} - 5 - 3 x^{4} + 6 x - - 3$

Step 1.2.3

Multiply $- 1$ by $- 3$ .

$x^{3} - 8 x^{4} - 5 - 3 x^{4} + 6 x + 3$

$x^{3} - 8 x^{4} - 5 - 3 x^{4} + 6 x + 3$

$x^{3} - 8 x^{4} - 5 - 3 x^{4} + 6 x + 3$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $3 x^{4}$ from $- 8 x^{4}$ .

$x^{3} - 11 x^{4} - 5 + 6 x + 3$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $- 5$ and $3$ .

$x^{3} - 11 x^{4} + 6 x - 2$

Step 2.2.2

Reorder $x^{3}$ and $- 11 x^{4}$ .

$- 11 x^{4} + x^{3} + 6 x - 2$

$- 11 x^{4} + x^{3} + 6 x - 2$

$- 11 x^{4} + x^{3} + 6 x - 2$

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