Complete square formula and square difference formula 1、 Given: a + B = 10, ab = 20, find the value of the following test: (1) a ^ 2 + B ^ 2 (2) (a-b) ^ 2 2、 If x ^ 2 + MXY + 4Y ^ 2 is a complete square test, find the value of M. 3、 Calculate 2004 ^ 2 - 2003 ^ 2 + 2002 ^ 2 - 2001 ^ 2 + +4^2 - 3^2 + 2^2 - 1 = Thank you very much

Complete square formula and square difference formula 1、 Given: a + B = 10, ab = 20, find the value of the following test: (1) a ^ 2 + B ^ 2 (2) (a-b) ^ 2 2、 If x ^ 2 + MXY + 4Y ^ 2 is a complete square test, find the value of M. 3、 Calculate 2004 ^ 2 - 2003 ^ 2 + 2002 ^ 2 - 2001 ^ 2 + +4^2 - 3^2 + 2^2 - 1 = Thank you very much

1、 (1) a ^ 2 + B ^ 2 = (a + b) ^ 2-2ab = 10 ^ 2-2 * 20 = 60
(2) (a-b)^2=(a+b)^2-4ab=10^2-4*20=20
2、 X ^ 2 + MXY + 4Y ^ 2 = (x + 2Y) ^ 2, M = 4 or - 4 can be obtained
3、 Original formula = (2004 + 2003) (2004-2003) + (2002 + 2001) (2002-2001) + +(4+3)(4-3
+(2+1)(2-1)
=2004+2003+2002+2001+…… +2+1
=2004（2004+1）/2
=2009010