Question

Simplify the given polynomial expressions as much as possible

(12a2 + 6a - 8) + (-22a2 + 12 - 15a)

Answer 1

- 10a² + a + 4

Explanation:

( 12a² + 6a - 8 ) + ( - 22a² + 12 - 5a )

= 12a² + 6a - 8 - 22a² + 12 - 5a

= 12a² - 22a² + 6a - 5a + 12 - 8

= - 10a² + a + 4

Answer 2

Explanation:

Remark

There is an isolated plus sign in the middle so removing the brackets is going to allow you to collect like terms quickly and immediately.

Solution

12a^2 + 6a - 8 - 22a^2+ 12 - 15a Group like terms together in pairs.

12a^2- 22a^2 + 6a - 15a - 8 + 12 Combine like terms.

Answer

-10a^2 - 9a + 4