化简求值:(X-1/2Y-1)(X-1/2Y+1)-(X-1/2Y-1)平方,其中X=1.7,Y=3.9

学习 时间:2026-04-02 09:31:26 阅读:5951
化简求值:(X-1/2Y-1)(X-1/2Y+1)-(X-1/2Y-1)平方,其中X=1.7,Y=3.9运用平方差公式和完全平方公式.

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阔达的羊

2026-04-02 09:31:26

(X-1/2Y-1)(X-1/2Y+1)-(X-1/2Y-1)平方
=[(X-1/2Y)-1][(X-1/2Y)+1]-[(X-1/2Y)-1]平方
=[(X-1/2Y)平方-1]-[(X-1/2Y)平方-2(X-1/2Y)+1](左边是平方差公式,右边是完全平方公式)
=(X-1/2Y)平方-1-(X-1/2Y)平方+2(X-1/2Y)-1
=-1+2(X-1/2Y)-1
=2X-Y-2
把X=1。7,Y=3。9代入,得
原式=2×1。7-3。9-2=-2。5

最新回答共有2条回答

  • 炙热的毛衣
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    2026-04-02 09:31:26

    (X-1/2Y-1)(X-1/2Y+1)-(X-1/2Y-1)平方=[(X-1/2Y)-1][(X-1/2Y)+1]-[(X-1/2Y)-1]平方=[(X-1/2Y)平方-1]-[(X-1/2Y)平方-2(X-1/2Y)+1](左边是平方差公式,右边是完全平方公式)=(X-1/2Y)平方-1-(X-1/2Y)平方+2(X-1/2Y)-1=-1+2(X-1/2Y)-1=2X-Y-2把X=1。7,Y=3。9代入,得原式=2×1。7-3。9-2=-2。5

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