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

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

Step 1

Remove parentheses.

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

Step 2

Subtract $9 a^{4}$ from $- 5 a^{4}$ .

$- 14 a^{4} - 7 a^{6} + 3 + 3 a^{6} + 9 + 5 a^{2}$

Step 3

Add $- 7 a^{6}$ and $3 a^{6}$ .

$- 14 a^{4} - 4 a^{6} + 3 + 9 + 5 a^{2}$

Step 4

Simplify the expression.

Add $3$ and $9$ .

$- 14 a^{4} - 4 a^{6} + 12 + 5 a^{2}$

Move $12$ .

$- 14 a^{4} - 4 a^{6} + 5 a^{2} + 12$

Reorder $- 14 a^{4}$ and $- 4 a^{6}$ .

$- 4 a^{6} - 14 a^{4} + 5 a^{2} + 12$