directions: subtract

4x-2x^2+4x^3 from 4x^3+x-3x^2

the answer that i came up with was:

x^2-3x

Is this correct.

How did -3x^2 -(-2x^2) become x^2

To subtract the expression 4x-2x^2+4x^3 from 4x^3+x-3x^2, we need to distribute the negative sign to each term in the expression being subtracted. This means changing the signs of each term in the expression: -(-2x^2) becomes +2x^2.

So, the expression becomes 4x-2x^2+4x^3 - (4x^3+x-3x^2), which simplifies to 4x+2x^2+4x^3 - 4x^3-x+3x^2.

Combining like terms, we have 4x-4x^3 + 2x^2 -x + 3x^2.

Now, rearranging the terms in descending order of their exponents, we get: -4x^3 + 4x^2 - x + 4x.

Therefore, the correct answer is -4x^3 + 4x^2 - x + 4x, not x^2 - 3x.

It seems there was an error in your calculation. Please review the steps again to find the correct answer.