一道因式分解题,求过程和解。

来源:百度知道 编辑:UC知道 时间:2024/06/18 18:45:17
[(1/5)·x^2·y]-(x^4)-[(y^2)/100]

求过程和解,因式分解。

通分:=(100x^4+20x²y-y²)/100
={-(10x²)²+2·(10x²y)-y²}/100
=-{(10x²)²-2·(10x²y)+y²}/100
=-(10x²-y)²/100 =-(x²-y/10)²
注:x^4指x的四次方
还清楚吧!!

[(1/5)x^2y]-x^4-[(y^2)/100]
=(x^2y/5)-x^4-(y^2/100)
=-[-(x^2y/5)+x^4+(y^2/100)]
=-[x^2-(y/10)]^2
=-(x^2-y/10)^2

[(1/5)·x^2·y]-(x^4)-[(y^2)/100]
=-[(x^2)^2-x^2y/5+(y/10)^2]
=-(x^2-y/10)^2