多项式除单项式单项式相除,把系数,同底数幂分别相除后,作为商的因式;对于只在被除式里含有的字母,则连同它的指数一起作为商的因式
单项式与单项式相除的法则1
同底数幂的除法),,,0(nmnmaaaanmnm且都是正整数)()()(xyxyxyaabbadbdad)2()3()3()2(132计算下列各题,说说你的理由
方法:类比有理数的除法21)2()2()3(31)3()3()2(1123322yxyxyxyxyxyxybabaabbaaabbabadbdaddbdad)()()()(02
0371)14
021(7)14
021(例如由有理数的除法类比得到多项式除以单项式的法则多项式除以单项式,先把这个多项式的每一项分别除以单项式,再把所得的商相加
例3计算:)21()213()4()3()69()3()3()61527()2()2()86()1(222223xyxyxyyxxyxyyxaaaabbab解:)2()86()1(bbab)2()8()2()6(bbbab43a)3()61527()2(23aaaa)3()6()3()15()3()27(23aaaaaa2592aa)3()69()3(22xyxyyx)3()6()3()9(22xyxyxyyxyx23)21()213()4(22xyxyxyyx)21()21()21()()21()3(22xyxyxyxyxyyx126yx)(5
0)6()63()1(2xxyxyyx22322332)5()15105()2(babaababbaba()2232232)21()642()3(yxyx