Simplify (7w^4-3wz+8wz^2)-(3w^4+2wz-6wz^2)

$(7 w^{4} - 3 w z + 8 w z^{2}) - (3 w^{4} + 2 w z - 6 w z^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$7 w^{4} - 3 w z + 8 w z^{2} - (3 w^{4}) - (2 w z) - (- 6 w z^{2})$

Simplify.

Multiply $3$ by $- 1$ .

$7 w^{4} - 3 w z + 8 w z^{2} - 3 w^{4} - (2 w z) - (- 6 w z^{2})$

Multiply $2$ by $- 1$ .

$7 w^{4} - 3 w z + 8 w z^{2} - 3 w^{4} - 2 (w z) - (- 6 w z^{2})$

Multiply $- 6$ by $- 1$ .

$7 w^{4} - 3 w z + 8 w z^{2} - 3 w^{4} - 2 (w z) + 6 (w z^{2})$

Remove parentheses.

$7 w^{4} - 3 w z + 8 w z^{2} - 3 w^{4} - 2 w z + 6 w z^{2}$

Step 2

Simplify by adding terms.

Subtract $3 w^{4}$ from $7 w^{4}$ .

$4 w^{4} - 3 w z + 8 w z^{2} - 2 w z + 6 w z^{2}$

Subtract $2 w z$ from $- 3 w z$ .

$4 w^{4} - 5 w z + 8 w z^{2} + 6 w z^{2}$

Add $8 w z^{2}$ and $6 w z^{2}$ .

$4 w^{4} - 5 w z + 14 w z^{2}$