计算题 (x+y)^2(x-y)^2-(x-y)^4 2012^2-2011^2+2010^2-2009^2+……2^2

1.原式=[(x+y)(x-y)[²-(x-y)^4
=(x²-y²)²-[(x-y) ² ] ²
=[(x²-y²)+(x-y) ² ][(x²-y²)-(x-y) ²]
=(x²-y²+x²-2xy+y² )(x²-y²-x²+2xy+y² )
=2xy(2x²-2xy）
=4x³y-4x²y²
2.原式=(2012-2011)^(2012+2011)+(2010+2009)^(2010-2009)+……+（2+1）^(2-1)
=2012+2011+2010+2009+2008+……+2+1
=（2012+1）×1006
=2013×1006
=2025078
一个字一个字打的,