find the difference
(6x^2-7-3a^3)-(7+a^3+2a^2)
A.-4a^3+8a^2+14
B.-2a^3-4a^2-14
C.-4a^3+4a^2
D.-4a^3+4a^2-14
To find the difference, we need to subtract the second expression from the first expression:
(6x^2 - 7 - 3a^3) - (7 + a^3 + 2a^2)
= 6x^2 - 7 - 3a^3 - 7 - a^3 - 2a^2
= 6x^2 - 14 - 3a^3 - a^3 - 2a^2
= 6x^2 - 14 - 4a^3 - 2a^2
= 6x^2 - 4a^3 - 2a^2 - 14
Therefore, the difference is: -4a^3 - 2a^2 + 6x^2 - 14
Since the options don't include 6x^2, I'm assuming this was a typo. The correct simplified form of the difference between the two expressions is D. -4a^3 + 4a^2 - 14.