因式分解 (x+y-z)(x-y+z)-4yz
来源:百度知道 编辑:UC知道 时间:2024/09/23 21:33:15
(x+y-z)(x-y+z)-4yz
要有过程
要有过程
您好!
(X+Y-Z)(X-Y+Z)-4YZ
=[X+(Y-Z)][ X-(Y-Z)] -4YZ
=X^2-(Y-Z) ^2-4YZ
= X^2-Y^2+2YZ-Z^2-4YZ
= X^2-Y^2-2YZ-Z^2
= X^2- (Y+Z) ^2
=(X+Y+Z)(X-Y-Z)
前面那个是 平方差 公式
原式=(x+y-z)(x-(y-z))-4yz
= X^2 - (y-z)^2 -4yz
= X^2 - Y*Y +2YZ - Z*Z -4YZ
= X*X -Y*Y-2YZ-Z*Z
= X*X - (Y+Z)^2
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