Algebra Examples

$(4 n - 8 n^{4} - 3) - (5 n + 2 n^{2} - 6)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$4 n - 8 n^{4} - 3 - (5 n) - (2 n^{2}) - - 6$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $5$ by $- 1$ .

$4 n - 8 n^{4} - 3 - 5 n - (2 n^{2}) - - 6$

Step 1.2.2

Multiply $2$ by $- 1$ .

$4 n - 8 n^{4} - 3 - 5 n - 2 n^{2} - - 6$

Step 1.2.3

Multiply $- 1$ by $- 6$ .

$4 n - 8 n^{4} - 3 - 5 n - 2 n^{2} + 6$

$4 n - 8 n^{4} - 3 - 5 n - 2 n^{2} + 6$

$4 n - 8 n^{4} - 3 - 5 n - 2 n^{2} + 6$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $5 n$ from $4 n$ .

$- n - 8 n^{4} - 3 - 2 n^{2} + 6$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $- 3$ and $6$ .

$- n - 8 n^{4} - 2 n^{2} + 3$

Step 2.2.2

Move $- n$ .

$- 8 n^{4} - 2 n^{2} - n + 3$

$- 8 n^{4} - 2 n^{2} - n + 3$

$- 8 n^{4} - 2 n^{2} - n + 3$

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