Question

How to simplify -5a^2-19a^2-5a-8+12a^2-22-14a-2a?

Answer 1

 -5a^2-19a^2-5a-8+12a^2-22-14a-2a
first gather all same powers
-5a²-19a²+12a²-5a-14a-2a-8-22
-12a²-21a-30
-3(6a²+7a-+10)

Answer 2

okay so first let's identify all the like terms in this equation

- 8 & - 22

-5a^2, - 19a^2, 12a^2

-5a, -14a, -2a

we can combine each of these sets of like terms separately and then write them all out together

so combining - 8 and - 22 is - 30

- 5a^2 and -19a^2 is -24a^4, then combining it with positive 12a^2 leaves you with -12a^2

-5a, -14a, - 2a is - 21a

so we have - 30 - 21a - 12a^2 as a finished result

however if your teacher wants you to factor then you have:

3(-7a - 4a^2 - 10)

or

-3(7a + 4a^2 +10)