write the simplified expression

4x^2-2+8-3(4x^2-2)+(-x^2+3x-2)

PLEASE PLEASE PLEASE
include all the steps if you can

4x^2-2+8-3(4x^2-2)+(-x^2+3x-2)

4x^2 -2+ 8 -12x^2 + 6 -x^2 + 3x -2

4x^2 -12x^2-2x^2 +3x -2+ 8+6 -2

-10x^2 +3x +10

For a "good form" solution, you should include "=" signs in front of each new line

4x^2-2+8-3(4x^2-2)+(-x^2+3x-2)

= 4x^2 -2+ 8 -12x^2 + 6 -x^2 + 3x -2

= 4x^2 -12x^2 - x^2 +3x -2+ 8+6 -2

= -9x^2 +3x +10

notice I also caught your error in the 2nd last and last line

thank you!

To simplify the expression 4x^2-2+8-3(4x^2-2)+(-x^2+3x-2), follow these steps:

1. Start by distributing the -3 to the terms inside the parentheses:
-3 * 4x^2 = -12x^2
-3 * -2 = 6

So the expression becomes: 4x^2 - 2 + 8 - 12x^2 + 6 + (-x^2 + 3x - 2)

2. Combine like terms:
(4x^2 - 12x^2 - x^2) = -9x^2
(-2 + 8 + 6 - 2) = 10
(3x) = 3x

So the expression simplifies to: -9x^2 + 3x + 10

Hence, the simplified expression is -9x^2 + 3x + 10.