已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
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已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
已知x²-y²=10,求[(x+y)的三次方-2y(x+y)²-4(x+y)]÷(x+y)的值
[(x+y)³-2y(x+y)²-4(x+y)]÷(x+y)
=﹙x+y﹚[﹙x+y﹚²-2y﹙x+y﹚-4]÷﹙x+y﹚
=﹙x+y﹚²-2y﹙x+y﹚-4
=﹙x+y﹚[﹙x+y﹚-2y]-4
=﹙x+y﹚﹙x-y﹚-4
=x²-y²-4
=10-4
=6