来自郭崇志的问题
一道初一数学题(用平方差公式解)(x-y+z)²-(x+y-z)²
一道初一数学题(用平方差公式解)
(x-y+z)²-(x+y-z)²
1回答
2020-07-28 01:08
一道初一数学题(用平方差公式解)(x-y+z)²-(x+y-z)²
一道初一数学题(用平方差公式解)
(x-y+z)²-(x+y-z)²
(x-y+z)²-(x+y-z)²
=[(x-y+z)+(x+y-z)][(x-y+z)-(x+y-z)]
=(x-y+z+x+y-z)(x-y+z-x-y+z)
=2x×(-2y+2z)
=-4xy+4xz
=-4x(y-z)