Multiplication and division of integers in grade one 1. It is known that the polynomial 2x ^ 2 + 3xy-2y ^ 2-x + 8y-6 can be decomposed into (x + 2Y + m) (2x-y + n). Find the value of (m ^ 3 + 1) / (n ^ 2-1) 2. It is known that a, B and C satisfy a ^ 2 + B ^ 2 = (2008 / 3) - C ^ 2. Find the maximum value of (a-b) ^ 2 + (B-C) ^ 2 + (C-A) ^ 2 3. If the polynomial 2x ^ 2-kx ^ 2 + 3 is divided by 2x + 1, the remaining 2. Find the value of K Help, answer a few, count a few, help! Will give you more points!

Multiplication and division of integers in grade one 1. It is known that the polynomial 2x ^ 2 + 3xy-2y ^ 2-x + 8y-6 can be decomposed into (x + 2Y + m) (2x-y + n). Find the value of (m ^ 3 + 1) / (n ^ 2-1) 2. It is known that a, B and C satisfy a ^ 2 + B ^ 2 = (2008 / 3) - C ^ 2. Find the maximum value of (a-b) ^ 2 + (B-C) ^ 2 + (C-A) ^ 2 3. If the polynomial 2x ^ 2-kx ^ 2 + 3 is divided by 2x + 1, the remaining 2. Find the value of K Help, answer a few, count a few, help! Will give you more points!

Because: 2x ^ 2 + 3xy-2y ^ 2-x + 8y-6 = (x + 2Y + m) (2x-y + n)
It is easy to know that the expansion constant on the right side is: Mn
Therefore, the comparison: Mn = - 6
Similarly, when we look at the coefficients of Y on the left and right sides, we get 8 = 2n-m
The solution is m = 3, n = - 2
So: (m ^ 3 + 1) / (n ^ 2-1) = (3 ^ 3 + 1) / [(- 2) ^ 2-1] = 28 / 3
2.a^2+b^2=(2008/3)-c^2
So:
a^2+b^2+c^2=2008/3
Because: (a-b) ^ 2 + (B-C) ^ 2 + (C-A) ^ 2
=2（a^2+b^2+c^2)-2(ab+bc+ca)
Because: - 2Ab