Simplify (6a^3-5a^2+8a-3)+(a^3-12a^2-4a+2)

$(6 a^{3} - 5 a^{2} + 8 a - 3) + (a^{3} - 12 a^{2} - 4 a + 2)$

Step 1

Remove parentheses.

$6 a^{3} - 5 a^{2} + 8 a - 3 + a^{3} - 12 a^{2} - 4 a + 2$

Step 2

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

$7 a^{3} - 5 a^{2} + 8 a - 3 - 12 a^{2} - 4 a + 2$

Step 3

Subtract $12 a^{2}$ from $- 5 a^{2}$ .

$7 a^{3} - 17 a^{2} + 8 a - 3 - 4 a + 2$

Step 4

Subtract $4 a$ from $8 a$ .

$7 a^{3} - 17 a^{2} + 4 a - 3 + 2$

Step 5

Add $- 3$ and $2$ .

$7 a^{3} - 17 a^{2} + 4 a - 1$