高手们,给简化一下这个方程式:X+0.5XY+0.25XY²+0.125XY³=?谢了!
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解决时间 2021-02-16 04:14
- 提问者网友:战魂
- 2021-02-15 08:56
高手们,给简化一下这个方程式:X+0.5XY+0.25XY²+0.125XY³=?谢了!
最佳答案
- 五星知识达人网友:玩世
- 2021-02-15 09:39
X+0.5XY+0.25XY²+0.125XY³
=0.125X (2+Y )(4+Y²)
=0.125X (2+Y )(4+Y²)
全部回答
- 1楼网友:过活
- 2021-02-15 11:07
您好!(X+0.5XY)+(0.25XY²+0.125XY³)=x(1+0.5y)+0.25xy^2((1+0.5y))=(1+0.5y)(x+0.25xy^2)=x(1+0.5y)(1+0.25y^2),望采纳,谢谢!
- 2楼网友:有你哪都是故乡
- 2021-02-15 10:41
提公因式x,得原式=(0.125y³+0.25y²+0.5y+1)x
=〔(0.5y)³+1³+0.5y(0.5y+1〕x
=〔(0.5y+1)(0.25y²-0.5y+1)+0.5y(0.5y+1)〕x
=〔(0.5y+1)(0.25y²-0.5y+1+0.5y)〕x
=x(0.5y+1)(0.25y²+1)
=〔(0.5y)³+1³+0.5y(0.5y+1〕x
=〔(0.5y+1)(0.25y²-0.5y+1)+0.5y(0.5y+1)〕x
=〔(0.5y+1)(0.25y²-0.5y+1+0.5y)〕x
=x(0.5y+1)(0.25y²+1)
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