x的平方-Y的平方+3y-y+2因式分解

问题描述:

x的平方-Y的平方+3y-y+2因式分解

是+3x-y吧
原式=(x+y)(x-y)+3x-y+2
x+y 2
×
x-y 1
x系数2+1=3
y系数-2+1=-1
所以原式=(x+y+2)(x-y+1)

X^2-y^2+3x-y+2用双十字相乘法:X二次项 y二次项 常数项1 -1 11 1 2原式=(x-y+1)(x+y+2)用常规法:X^2-y^2+3x-y+2=(x+y)(x-y)+2x-2y+x+y+2=(x+y)(x-y)+ ( x+y) +2(x-y)+2=( x+y)(x-y+1)+2(x-y+1)=( x+y...