带有括号的式子利用什么可以去括号再合并同类项

2025-03-15 09:48:50
推荐回答(1个)
回答1:

1.括号前面有"+"号,把括号和它前面的"+"号去掉,括号里各项的符号不改变  2.括号前面是"-"号,把括号和它前面的"-"号去掉,括号里各项的符号都要改变  去括号法则的依据实际是乘法分配率  注:要注意括号前面的符号,它是去括号后括号内各项是否变号的依据.  去括号时应将括号前的符号连同括号一起去掉.  要注意,括号前面是"-"时,去掉括号后,括号内的各项均要改变符号,不能只改变括号内第一项或前几项的符号,而忘记改变其余的符号.  若括号前是数字因数时,应利用乘法分配律先将数与括号内的各项分别相乘再去括号,以免发生错误.  遇到多层括号一般由里到外,逐层去括号,也可由外到里.数"-"的个数.合并同类项  把多项式中同类项合成一项,叫做合并同类项(combining like terms).  合并同类项,就是将带有相同的代数项的系数提出,之后再进行计算   合并同类项时,所含字母和字母指数不变.  合并同类项的法则是:  把同类项的系数相加,所得结果作为系数,字母和字母的指数不变.  例1:当出现3x+5x+2x,或ab+ab+ab,的类型,就可进行合并同类项,  3x+5x+2x=(3+5+2)x=10x,ab+ab+ab=(1+1+1)ab=3ab   例2:(a+b)^2=a^2+ab+ab+b^2   将两个ab进行合并的步骤就叫合并同类项,  就为(a+b)^2=a^2+2ab+b^2

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