因式分解(x+y+z)²-(x-y-z)²因式分解
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![因式分解(x+y+z)²-(x-y-z)²因式分解](/uploads/image/z/1960330-58-0.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%88x%2By%2Bz%29%26%23178%3B-%EF%BC%88x-y-z%EF%BC%89%26%23178%3B%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
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因式分解(x+y+z)²-(x-y-z)²因式分解
因式分解(x+y+z)²-(x-y-z)²因式分解
因式分解(x+y+z)²-(x-y-z)²因式分解
(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·2(y+z)
=4x(y+z)
(x+y+z)²-(x-y-z)²
=(x+y+z+x-y-z)(x+y+z-x+y+z)
=3x(2y+2z)
=6x(y+z)
平方差公式的应用