Simplify (4n-8n^4-3)-(5n+2n^2-6)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $5$ by $- 1$ .

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

Multiply $2$ by $- 1$ .

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

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.

Subtract $5 n$ from $4 n$ .

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

Simplify the expression.

Add $- 3$ and $6$ .

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

Move $- n$ .

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

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

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

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