xy y的平方 x-y-2因式分解-搜答案-智慧作业帮

原式=（2x-y)(2x+y)(4x^2+y^2)=(4x^2-y^2)(4x^2+y^2)=16x^4-y^4

（x的平方+2xy+y的平方）（x的平方-xy+y的平方）的平方=（x²+2xy+y²）（x²-xy+y²）²=（x+y)²(x²

(x+y)的平方-2x-2y-3=(x+y)的平方-2(x+y)-3=(x+y-3)(x+y+1)

可以使用平方差公式：m^2-n^2=(m+n)(m-n)所以(2x＋y)^2-(x+2y)^2=（2x＋y+x+2y)(2x＋y-x-2y）=(3x+3y)(x-y)=3(x+y)(x-y)

Y^2(2X+1)(X-3)

（x+y）(x+2y)=x²+xy+2xy+2y²=x²+3xy+2y²

=x²+2xy+3x+y²+3y+2=（x+y）²+3（x+y）+2=（x+y+1）(x+y+2)

(x-y)^2-8(x-y-2)=(x-y)^2-8(x-y)+16=[(x-y)-4]^2=(x-y-4)^2

题目是√x^3+X^2y+1/4xy+√(1/4x^3)-X^2y+xy^2如果是：√x^3+X^2y+1/4xy+√(1/4x^3)-X^2y+xy^2=(3/2)√x^3+xy/4+xy^2=(3

(x+2y)的平方-4x的平方=(x+2y+2x)(x+2y-2x)=(3x+2y)(2y-x)

3a(x-y)-2(y-x)^2=3a(x-y)-2(x-y)^2=(x-y)[3a-2(x-y)]=(x-y)(3a-2x+2y)

(x-y)平方+2y(x-y)=(x-y)(x-y+2y)=(x-y)(x+y)

x(x+y)(x-y)-2x(x+y)=x(x(x-y)+y(x-y))-(2x^2+2xy)=x(x^2-xy+xy-y^2)-2x^2-2xy=x(x^2-y^2)-2x^2-2xy=x^3-xy

(x+y)的平方+2(x+y)+1=(x+y)²+2×(x+y)×1+1²=(x+y+1）²

xy+y平方+x-y-2=xy+x+y^2-y-2=x(y+1)+(y+1)(y-2)=(y+1)(x+y-2)

(x+y)²+2x+2y=(x+y)²+2(x+y)=(x+y+2)(x+y)

-y平方x-4x平方y+2x的3次方=2x³-4x²y-xy²=x(2x²-4xy-y²)

x的平方-2xy+y的平方-4=(x-y)²-2²=(x-y+2)(x-y-2)再问：(3a-7)的平方-(a+5)的平方这个呢？再答：(3a-7)的平方-(a+5)的平方=(3a

x平方-4y平方-x-2y=(x+2y)(x-2y)-(x+2y)=(x+2y)(x-2y-1)

令x²+x=m原式=(2m+1)y+m(y²+1)=my²+(2m+1)y+m令原式=0△=(2m+1)²-4m²=4m+1=4x²+4x+