Simplify -2a^4-3a^2+7a+6-6a^3+a^4+7a^2-6

$- 2 a^{4} - 3 a^{2} + 7 a + 6 - 6 a^{3} + a^{4} + 7 a^{2} - 6$

Step 1

Combine the opposite terms in $- 2 a^{4} - 3 a^{2} + 7 a + 6 - 6 a^{3} + a^{4} + 7 a^{2} - 6$ .

Subtract $6$ from $6$ .

$- 2 a^{4} - 3 a^{2} + 7 a - 6 a^{3} + a^{4} + 7 a^{2} + 0$

Add $- 2 a^{4} - 3 a^{2} + 7 a - 6 a^{3} + a^{4} + 7 a^{2}$ and $0$ .

$- 2 a^{4} - 3 a^{2} + 7 a - 6 a^{3} + a^{4} + 7 a^{2}$

Step 2

Add $- 2 a^{4}$ and $a^{4}$ .

$- a^{4} - 3 a^{2} + 7 a - 6 a^{3} + 7 a^{2}$

Step 3

Add $- 3 a^{2}$ and $7 a^{2}$ .

$- a^{4} + 4 a^{2} + 7 a - 6 a^{3}$

Step 4

Reorder.

Move $7 a$ .

$- a^{4} + 4 a^{2} - 6 a^{3} + 7 a$

Move $4 a^{2}$ .

$- a^{4} - 6 a^{3} + 4 a^{2} + 7 a$