1.多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)各项的公因式是 2.解方程:(x-2)(x+3)+(2-x)-(x-2)(2x-3)=0.最好用简便方法

问题描述:

1.多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)各项的公因式是 2.解方程:(x-2)(x+3)+(2-x)-(x-2)(2x-3)=0.最好用简便方法

解1.原式=(x+y-z)(x-y+z)+(y+z-x)(x+y-z) =(x+y-z)(x-y+z-z+x+y) 所以公因式为(x+y-z) 2.(x-2)(x+3+x-2-2x+3)=0 4(x-2)=0 x-2=0 x=2