1.(x-y)²-4(x+y)² 2.（x-y）的三次方+4（y-x）分解因式。。初二知识。。
3个回答
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1.
(x-y)²-4(x+y)²
=[(x-y)+2(x+y)][(x-y)-2(x+y)]
=(3x+y)(-x-3y)
=-(3x+y)(x+3y)
2.
(x-y)³+4(y-x)
=(x-y)³-4(x-y)
=(x-y)[(x-y)²-4]
=(x-y)(x-y+2)(x-y-2)
(x-y)²-4(x+y)²
=[(x-y)+2(x+y)][(x-y)-2(x+y)]
=(3x+y)(-x-3y)
=-(3x+y)(x+3y)
2.
(x-y)³+4(y-x)
=(x-y)³-4(x-y)
=(x-y)[(x-y)²-4]
=(x-y)(x-y+2)(x-y-2)
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1.(x-y)²-4(x+y)²
=(x-y)²-(2x+2y)²
=（x-y+2x+2y）（x-y-2x-2y）
=(3x-y)(-x-3y)
=-(3x-y)(x+3y)
2.（x-y）的三次方+4（y-x)
=（x-y）的三次方-4（x-y）
=(x-y)[(x-y)²-4]
=(x-y)(x-y+2)(x-y-2)
=(x-y)²-(2x+2y)²
=（x-y+2x+2y）（x-y-2x-2y）
=(3x-y)(-x-3y)
=-(3x-y)(x+3y)
2.（x-y）的三次方+4（y-x)
=（x-y）的三次方-4（x-y）
=(x-y)[(x-y)²-4]
=(x-y)(x-y+2)(x-y-2)
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1.(x-y)²-4(x+y)²
=[(x-y)+2(x+y)][(x-y)-2(x+y)]
=(3x+y)(-x-3y)
2.（x-y）的三次方+4（y-x）
=(x-y)³-4(x-y)
=(x-y)[(x-y)²-4]
=(x-y)(x-y+2)(x-y-2)
=[(x-y)+2(x+y)][(x-y)-2(x+y)]
=(3x+y)(-x-3y)
2.（x-y）的三次方+4（y-x）
=(x-y)³-4(x-y)
=(x-y)[(x-y)²-4]
=(x-y)(x-y+2)(x-y-2)
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