因式分解:x^3-25x;-4x^3+4x^3-x^3;x^2(x-y)-y^2(x-y);(x-1)(x-3)+1
答案:5 悬赏:60
解决时间 2021-11-16 02:16
- 提问者网友:咪咪
- 2021-11-15 09:53
因式分解:x^3-25x;-4x^3+4x^3-x^3;x^2(x-y)-y^2(x-y);(x-1)(x-3)+1
最佳答案
- 二级知识专家网友:执傲
- 2020-04-14 15:08
x^3-25x;
=x(x²-25)
=x(x-5)(x+5)
-4x^3+4x^3-x^3;
= -x³
x^2(x-y)-y^2(x-y)
=(x-y)(x²-y²)
=(x-y)²(x+y)
(x-1)(x-3)+1
=x²-4x+4
=(x-2)²
=x(x²-25)
=x(x-5)(x+5)
-4x^3+4x^3-x^3;
= -x³
x^2(x-y)-y^2(x-y)
=(x-y)(x²-y²)
=(x-y)²(x+y)
(x-1)(x-3)+1
=x²-4x+4
=(x-2)²
全部回答
- 1楼网友:西风乍起
- 2020-04-09 01:09
1. x(x+5)(x-5)
2. -x*3
3. (x+y)(x-y)*2
4. (x-2)*2
- 2楼网友:动情书生
- 2020-02-27 06:22
x^3-25x;
=x(x-25)
=x(x-5)(x+5)
-4x^3+4x^3-x^3;
= -x
x^2(x-y)-y^2(x-y)
=(x-y)(x-y)
=(x-y)(x+y)
(x-1)(x-3)+1
=x-4x+4
=(x-2)
- 3楼网友:鱼忧
- 2021-06-16 10:07
x^3-25x;
=x(x^2-25)
=x(x+5)(x-5)
-4x^3+4x^3-x^3
=x^3*(-4+4-1)
=-x^3
x^2(x-y)-y^2(x-y)
=(x-y)(x^2-y^2)
=(x-y)(x-y)(x+y)
=(x-y)^2(x+y)
(x-1)(x-3)+1
=x^2-4x+4
=(x-2)^2
- 4楼网友:轻雾山林
- 2020-04-18 16:12
x^3-25x
=x(x^2-25)
=x(x+5)(x-5)
-4x^3+4x^3-x^3
=x^3(-4+4-1)
=-x^3
此题不是因式分解,是整式的加减运算。
x^2(x-y)-y^2(x-y)
=(x^2-y^2)(x-y)
=(x+y)(x-y)(x-y)
=(x+y)(x-y)^2
(x-1)(x-3)+1
=x^2-4x+3+1
=x^2-4x+4
=(x-2)^2
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