1.x^2-1因式分解 2.5a(a-2b)^2-20b(2b-a) 3.多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)的公因式是

问题描述:

1.x^2-1因式分解 2.5a(a-2b)^2-20b(2b-a) 3.多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)的公因式是
要过程 谢谢

x^2-1
=(x-1)(x+1)
5a(a-2b)^2-20b(2b-a)
= 5a(a-2b)^2+20b(a-2b)
= 5(a-2b)[a(a-2b)+4b]
= 5(a-2b)(a^2-2ab+4b)
(x+y-z)(x-y+z)-(y+z-x)(z-x-y)的公因式是:x+y-z
=(x+y-z)(x-y+z)-(x-y-z)(x+y-z)
=(x+y-z)[(x-y+z)-(x-y-z)]= 5(a-2b)[a(a-2b)+4b]不懂 , 能解释一下吗= 5a(a-2b)^2+20b(a-2b)提取公因式 :5(a-2b)= 5(a-2b)[a(a-2b)+4b]