Simplify (12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)

$(12 s^{4} - 6 s^{2} + 4 s) + (6 s^{4} - 4 s + 27) - (4 s^{4} + s^{2} + 12)$

Simplify by adding terms.

Remove parentheses.

$12 s^{4} - 6 s^{2} + 4 s + 6 s^{4} - 4 s + 27 - (4 s^{4} + s^{2} + 12)$

Combine the opposite terms in $12 s^{4} - 6 s^{2} + 4 s + 6 s^{4} - 4 s + 27 - (4 s^{4} + s^{2} + 12)$ .

Subtract $4 s$ from $4 s$ .

$12 s^{4} - 6 s^{2} + 6 s^{4} + 0 + 27 - (4 s^{4} + s^{2} + 12)$

Add $12 s^{4} - 6 s^{2} + 6 s^{4}$ and $0$ .

$12 s^{4} - 6 s^{2} + 6 s^{4} + 27 - (4 s^{4} + s^{2} + 12)$

Simplify each term.

Apply the distributive property.

$12 s^{4} - 6 s^{2} + 6 s^{4} + 27 - (4 s^{4}) - s^{2} - 1 \cdot 12$

Simplify.

Multiply $4$ by $- 1$ .

$12 s^{4} - 6 s^{2} + 6 s^{4} + 27 - 4 s^{4} - s^{2} - 1 \cdot 12$

Multiply $- 1$ by $12$ .

$12 s^{4} - 6 s^{2} + 6 s^{4} + 27 - 4 s^{4} - s^{2} - 12$

Simplify by adding terms.

Add $12 s^{4}$ and $6 s^{4}$ .

$18 s^{4} - 6 s^{2} + 27 - 4 s^{4} - s^{2} - 12$

Subtract $4 s^{4}$ from $18 s^{4}$ .

$14 s^{4} - 6 s^{2} + 27 - s^{2} - 12$

Subtract $s^{2}$ from $- 6 s^{2}$ .

$14 s^{4} - 7 s^{2} + 27 - 12$

Subtract $12$ from $27$ .

$14 s^{4} - 7 s^{2} + 15$