村委主任综治述职报告:一道计算题 急用

来源:百度文库 编辑:杭州交通信息网 时间:2024/05/02 01:42:33
先化简,再求值
(-y)(y+2x)-(2y+x)(2y-x)+y^2,其中x=1,y=2。

原式=-y^2-2xy-(4y^2-x^2)+y^2
=x^2-2xy-4y^2
=x^2-2xy-3y^2-y^2
=(x-3y)(x+y)-y^2
=(-5)*3-4
=-15-4
=-19

(-y)(y+2x)-(2y+x)(2y-x)+y^2
=(-y)(y+2x)-(4y^2-x^2)+y^2
=-2*(2+2)-(4*2*2-1*1)+2*2
=-19

原式=-y^2-2xy-4y^2+x^2+y^2
=-2xy-4y^2+x^2
=(x-y)^2-5y^2
=(1-2)^2-5*2^2
=1-5*4
=-19

(-y)(y+2x)-(2y+x)(2y-x)+y^2
=-y^2-2xy-4y^2+x^2+y^2
=x^2-2xy-4y^2
=(x-y)^2-5y^2
=1-20
=-19