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

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

已知x²-y²=10,求[(x+y)³-2y(x+y)²-4(x+y)]÷(x+y)的值
6,后面的多项式,提取(x+y),变成:
(x+y)[(x+y)^2-2y(x+y)-4]/ (x+y)
=(x+y)^2-2y(x+y)-4
=x^2-y^2-4
=10-4
=6

已知x²-y²=10,
[(x+y)³-2y(x+y)²-4(x+y)]÷(x+y)的值
=(x+y)²-2y(x+y)-4
=(x+y)(x+y-2y)-4
=(x+y)(x-y)-4
=10-4
=6;
您好,很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明...

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已知x²-y²=10,
[(x+y)³-2y(x+y)²-4(x+y)]÷(x+y)的值
=(x+y)²-2y(x+y)-4
=(x+y)(x+y-2y)-4
=(x+y)(x-y)-4
=10-4
=6;
您好,很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明白可以追问,如果满意记得采纳
如果有其他问题请采纳本题后另发点击向我求助,答题不易,请谅解,谢谢。
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