Simplify (8+7n^4)-(5-2n+8n^4)

$(8 + 7 n^{4}) - (5 - 2 n + 8 n^{4})$

Step 1

Simplify each term.

Apply the distributive property.

$8 + 7 n^{4} - 1 \cdot 5 - (- 2 n) - (8 n^{4})$

Simplify.

Multiply $- 1$ by $5$ .

$8 + 7 n^{4} - 5 - (- 2 n) - (8 n^{4})$

Multiply $- 2$ by $- 1$ .

$8 + 7 n^{4} - 5 + 2 n - (8 n^{4})$

Multiply $8$ by $- 1$ .

$8 + 7 n^{4} - 5 + 2 n - 8 n^{4}$

$8 + 7 n^{4} - 5 + 2 n - 8 n^{4}$

$8 + 7 n^{4} - 5 + 2 n - 8 n^{4}$

Step 2

Simplify by adding terms.

Subtract $5$ from $8$ .

$7 n^{4} + 3 + 2 n - 8 n^{4}$

Subtract $8 n^{4}$ from $7 n^{4}$ .

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

Move $3$ .

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

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

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