4x-2x^2+4x^3 from 4x^3+x-3x^2
4x^3+x-3x^2
-( 4x-2x^2+4x^3)
then changing signs and rearranging terms.
4x^3+x-3x^2
-4x^3-4x+2x^2
answer after ADDING the above..
-3x - x^2
so for the answer isn't it the same as what i had
-x^2-3x doesnt' x^2 goes first then -3x
To simplify the expression (4x^3+x-3x^2) - (4x-2x^2+4x^3), you can follow these steps:
1. Distribute the negative sign across each term inside the parentheses:
-(4x-2x^2+4x^3) = -4x + 2x^2 - 4x^3
2. Rearrange the terms in descending order of their exponents of x:
-4x^3 + 2x^2 - 4x
3. Combine like terms with the expression (4x^3+x-3x^2):
(4x^3+x-3x^2) + (-4x^3+2x^2-4x) = 4x^3 - 4x^3 + x + 2x^2 - 3x^2 - 4x = x - x^2 - 3x^2
4. Combine like terms:
x - x^2 - 3x^2 = -x^2 - 2x^2 + x = -3x^2 - x
Therefore, the simplified expression is -3x^2 - x. So, you're correct in saying that x^2 goes first, and then -3x.