# How do you add (12a^5 - 6a - 10a^3) - (10a - 2a^5 - 14a^4)?

Apr 19, 2018

$14 {a}^{5} + 14 {a}^{4} - 10 {a}^{3} - 16 a$

#### Explanation:

All you have to do is distribute the negative through the second half of the equation $- \left(10 a - 2 {a}^{5} - 14 {a}^{4}\right)$ to get $- 10 a + 2 {a}^{5} + 14 {a}^{4}$.

Rewriting your equation you get $12 {a}^{5} - 6 a - 10 {a}^{3} - 10 a + 2 {a}^{5} + 14 {a}^{4}$

Now you can look to see if you can combine like terms, i.e. terms that have the same degree of "a" in them.

$12 {a}^{5}$ and $2 {a}^{5}$ are like terms. $- 6 a$ and $- 10 a$ are also like terms. The other two terms cannot combine with anything as they share no like terms.

The final answer, after adding up the like terms, is $14 {a}^{5} + 14 {a}^{4} - 10 {a}^{3} - 16 a$