Simplify (8n^7+2n^6+17)-(5n^6+5n^7+15)

$(8 n^{7} + 2 n^{6} + 17) - (5 n^{6} + 5 n^{7} + 15)$

Step 1

Simplify each term.

Apply the distributive property.

$8 n^{7} + 2 n^{6} + 17 - (5 n^{6}) - (5 n^{7}) - 1 \cdot 15$

Simplify.

Multiply $5$ by $- 1$ .

$8 n^{7} + 2 n^{6} + 17 - 5 n^{6} - (5 n^{7}) - 1 \cdot 15$

Multiply $5$ by $- 1$ .

$8 n^{7} + 2 n^{6} + 17 - 5 n^{6} - 5 n^{7} - 1 \cdot 15$

Multiply $- 1$ by $15$ .

$8 n^{7} + 2 n^{6} + 17 - 5 n^{6} - 5 n^{7} - 15$

Step 2

Simplify by adding terms.

Subtract $5 n^{7}$ from $8 n^{7}$ .

$3 n^{7} + 2 n^{6} + 17 - 5 n^{6} - 15$

Subtract $5 n^{6}$ from $2 n^{6}$ .

$3 n^{7} - 3 n^{6} + 17 - 15$

Subtract $15$ from $17$ .

$3 n^{7} - 3 n^{6} + 2$