Find the difference
(6a^(2)-7-3a^(3))-(7+a^(3)+2a^(2))
Starting with the first set of parentheses:
6a^(2) - 7 - 3a^(3)
Distribute the negative sign to the terms inside the second set of parentheses:
6a^(2) - 7 - 3a^(3) - 7 - a^(3) - 2a^(2)
Combine like terms:
4a^(2) - 8 - 4a^(3)
Therefore, the difference between (6a^(2)-7-3a^(3)) and (7+a^(3)+2a^(2)) is:
4a^(2) - 8 - 4a^(3)
To find the difference between two expressions, we need to subtract the second expression from the first one.
(6a^2 - 7 - 3a^3) - (7 + a^3 + 2a^2)
First, let's distribute the negative signs inside the parentheses:
6a^2 - 7 - 3a^3 - 7 - a^3 - 2a^2
Next, let's combine like terms:
(6a^2 - 2a^2) + (-3a^3 - a^3) + (-7 - 7)
This simplifies to:
4a^2 - 4a^3 - 14
Therefore, the difference between the two expressions is 4a^2 - 4a^3 - 14.