Question

How do you simplify `(- 6a + 8+ 6a ^ { 2} ) - ( - 5a + 3a ^ { 2} + 3)`?

Answer 1

`3a^2-a+5`

Explanation:

You want to add terms with the same power of `a`.

`(-6a+8+6a^2)-(-5a+3a^2+3)`

`=-6a+8+6a^2+5a-3a^2-3color(white)(x)`<-- Distribute the negative

`=6a^a-3a^2-6a+5a+8-3color(white)(xxxxx)`<--Reorder the terms

`=3a^2-a+5color(white)(xxxxx)`<--Add like terms