Simplify (12x^2+3x^4-6x-2)+(-3x^4+5x+9-7x^2)

$(12 x^{2} + 3 x^{4} - 6 x - 2) + (- 3 x^{4} + 5 x + 9 - 7 x^{2})$

Step 1

Remove parentheses.

$12 x^{2} + 3 x^{4} - 6 x - 2 - 3 x^{4} + 5 x + 9 - 7 x^{2}$

Step 2

Combine the opposite terms in $12 x^{2} + 3 x^{4} - 6 x - 2 - 3 x^{4} + 5 x + 9 - 7 x^{2}$ .

Subtract $3 x^{4}$ from $3 x^{4}$ .

$12 x^{2} - 6 x - 2 + 0 + 5 x + 9 - 7 x^{2}$

Add $12 x^{2} - 6 x - 2$ and $0$ .

$12 x^{2} - 6 x - 2 + 5 x + 9 - 7 x^{2}$

Step 3

Subtract $7 x^{2}$ from $12 x^{2}$ .

$5 x^{2} - 6 x - 2 + 5 x + 9$

Step 4

Add $- 6 x$ and $5 x$ .

$5 x^{2} - x - 2 + 9$

Step 5

Add $- 2$ and $9$ .

$5 x^{2} - x + 7$