因式分解:x²-y²-z²+2yz

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因式分解:x²-y²-z²+2yz因式分解:x²-y²-z²+2yz因式分解:x²-y²-z²+2yzx

因式分解:x²-y²-z²+2yz
因式分解:x²-y²-z²+2yz

因式分解:x²-y²-z²+2yz
x²-y²-z²+2yz
= x²-(y-z)²
= (x+y-z)(x-y+z).

x²-y²-z²+2yz
=-[(y²+z²-2yz)-x²]
=-[(y-z)²-x²]
=-(y-z+x)(y-z-x)

原式=XX-(YY+ZZ-2YZ)
=XX-(Y-Z)(Y-Z)
=(X+Y-Z)(X-Y+Z)
分解完了

原式=x^2-(y-z)^2
=(x-y+z)*(x+y-z)