1:分解因式4(x+2y)²-25(x-y)²=...2:把9(x-y)+12(

1:分解因式4(x+2y)²-25(x-y)²=...2:把9(x-y)+12(

(x+2y)²-25(x-y)²=(x+2y+5x-5y)(x+2y-5x+5y)=(6x-3y)(7y-4x)=3（2x-y)(7y-4x)9(x-y)²+12(x²-y²)+4(x+y)²=(3x-3y+2x+2y)^2=(5x-y)^2(x+y)^m+1-(x+y)^m-1=(x+y)^m-1(x+y+1)(x+y-1)-3y^4+10y²+8=-(3y^2+2)(y^2-4)=-(3y^2+2)(y+2)(y-2)======以下答案可供参考======供参考答案1:4(x+2y)²-25(x-y)²=(6x-3y)(7y-4x)=3（2x-y)(7y-4x)9(x-y)^2+12(x²-y²)+4(x+y)² (题目有问题？)=(3x-3y+2x+2y)^2=(5x-y)^2(x+y)^m+1-(x+y)^m-1=[(x+y)^m-1][(x+y)^2]-(x+y)^m-1 *1=(x+y)^m-1*[x+y+1](x+y-1)-3y^4+10y²+8=.....配方再分解（这题的数据，晕了~~）供参考答案2:（1）(x+2y)²-25(x-y)²=(x+2y+5x-5y)(x+2y-5x+5y)=(6x-3y)(7y-4x)=3（2x-y)(7y-4x)（2）9(x-y)²+12(x²-y²)+4(x+y)²=(3x-3y+2x+2y)^2=(5x-y)^2（3）(x+y)^m+1-(x+y)^m-1=(x+y)^m-1(x+y+1)(x+y-1)（4）-3y^4+10y²+8=-(3y^2+2)(y^2-4)=-(3y^2+2)(y+2)(y-2)供参考答案3:第二个（2-y）*（2+y）*（3y^2+2）供参考答案4:4(x+2y)²-25(x-y)²=[2(x+2y)-5(x-y)][2(x+2y)+5(x-y)]=(2x+4y-5x+5y)(2x+4y+5x-5y)=9y-3x)(7x-y)9(x-y)²+12(x²-y²)+4(x+y)²=9(x-y)²+12(x-y)(x+y)+4(x+y)²=[3(x-y)+2(x+y)]²=(3x-3y+2x+2y)²=(5x-y)²(x+y)^m+1-(x+y)^m-1=(x+y)^m-1[(x+y)²-1]=(x+y)^m-1(x+y+1)(x+y-1)-3y^4+10y²+8=-(3y^4-10y²-8)=-(3y²+2)(y²-4)=-(3y²+2)(y-2)(y+2)

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