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

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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1.x^2-1因式分解2.5a(a-2b)^2

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
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

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)]

1、x²-1因式分解
x²-1=(x+1)(x-1)
2、5a(a-2b)²-20b(2b-a)
原式=5a(2b-a)²-20b(2b-a)
=(2b-a)﹙10ab-5a²-20b﹚
=(2b-a)[-5(a²-2ab+4)]
...

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1、x²-1因式分解
x²-1=(x+1)(x-1)
2、5a(a-2b)²-20b(2b-a)
原式=5a(2b-a)²-20b(2b-a)
=(2b-a)﹙10ab-5a²-20b﹚
=(2b-a)[-5(a²-2ab+4)]
=-5(2b-a)(a²-2ab+4)
3、多项式(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)-(y+z-x)(z-x-y)
=(x+y-z)(x-y+z)-(y+z-x)[-(x+y-z)]
=(x+y-z)(x-y+z)+(y+z-x)(x+y-z)
=(x+y-z)(x-y+z+y+z-x)
=2(x+y-z)z

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