作业帮因式分解9x[x-y] 4b[y-x]
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/22 01:20:40
原式＝(x－y)2＋4(x－y)＋4＝(x－y＋2)2说明：2表示平方
原式=-(x-y)³(x-y-1)
=(3x)^2-(y+2)^2=(3x+y+2)(3x-y-2)
4x^3-4x^2y-(x-y)=4x^2(x-y)-(x-y)=(x-y)(4x^2-1)=(x-y)(2x-1)(2x+1)
x(x-y)+4(y-x)=x(x-y)-4(x-y)=(x-y)(x-4)=(x-y)(X+2)(X-2)
利用平方差公式：a²-b²=(a+b)(a-b)4(x+y)²-9(x-y)²=[2(x+y)]²-[3(x-y)]²=[2(x+y)+3(
4x^2-9y^2=(2x+3y)(2x-3y)
4-12(x-y)+9(x-y)²=[2－3﹙x－y﹚]²=﹙2－3x＋3y﹚²再问：那个小的2是怎么弄的再答：二次方，就是平方
4（x-y+1)+y(y-2x)=4x-4y+4+y^2-2xy=(y^2-4y+4)-2x(2-y)=(y-2)^2+2x(y-2)=(y-2)(2x+y-2)
(x-y)^2+4(x^2-y^2)+4(x+y)^2=(3x+y)^2a(x^2+2xy+y^2)-b(x^2-y^2)=(a-b)x^2+2axy+(a+b)y^2(x+1)(x+2)+1/4=x
原式=(2x+3y)(2x-3y)再问：.再答：这是平方差
4x(y-x)-y²=4xy-4x²-y²=-(4x²-4xy+y²)=-(2x-y)²很高兴为您解答,【the1990】团队为您答题.请点
再答：不客气
x^4-y^4=(x²-y²)(x²+y²)=(x-y)(x+y)(x²+y²)
x^2y-4y=y(x^2-4)=y(x^2-2^2)=y(x+2)(x-2)如果帮到你,请记得采纳,O(∩_∩)O谢谢
1)9x^4-25y^6=(3x^2+5y^3)(3x^2-5y^3)2)4x^2+(x+y)^2+4x(x+y)=(x+y)^2+4x(x+y)+4x^2=[(x+y)+2x]^2=(3x+y)^2
（a-b)(x-y)-(b-a)(x-y)=(a-b)(x-y)+(a-b)(x-y)=2(a-b)(x-y)（a-b)(x-y)-(b-a)(x+y）=(a-b)(x-y)+(a-b)(x+y)=(
4(x-y)^2-9(x+y)^2=[2(x-y)]^2-[3(x+y)]^2=(2x-2y)^2-(3x+3y)^2=(2x-2y+3x+3y)(2x-2y-3x-3y)=-(5x+y)(x+5y)