Add or subtract.
(5x^2+x-3)-(-2x^3+4)
A: -2x^3+5x^2+x+7
B: -2x^3+5x^2+x+1
C: 2x^3+5x^2+x=7
D: 2x^3+5x^2+x+1
B: -2x^3+5x^2+x+1
To add or subtract the given expression (5x^2+x-3)-(-2x^3+4), we distribute the negative sign to every term within the brackets after changing the subtraction into addition:
(5x^2+x-3) + (2x^3-4).
Now, we can combine like terms:
5x^2 + x - 3 + 2x^3 - 4.
Finally, we arrange the terms in descending order of the exponent of x:
2x^3 + 5x^2 + x - 3 - 4.
Simplifying further, we have:
2x^3 + 5x^2 + x - 7.
Therefore, the correct answer is D: 2x^3 + 5x^2 + x + 1.