1、(2a+b-c+3d)(2a-b+c+3d)
=[(2a+3d)+(b-c)]*[(2a+3d)-(b-c)]
=(2a+3d)^2-(b-c)^2·········(平方差公式)
=4a^2-b^2-c^2=9d^2+12ad+2bc
2、(x-y)^2*(x^2+xy+y^2)^2-(x^3+y^3)(-x^3+y^3)
=(x-y)^2*(x^2+xy+y^2)^2-(x+y)(x^2-xy+Y^2)(y-x)(x^2+xy+Y^2)
·····(三次方的那个公式,只有减号后面的变了,你仔细看看)
=[(x-y)(x^2+xy+y^2)]*[(x-y)(x^2+xy+y^2)+(x+y)(x^2-xy+y^2)]
·····(提取公因子,也就是前面中括号里面的那部分)
=(2x^3)(x-y)(x^2+xy+y^2)
然后把x=1,y=-1代入可得结果为:4