因式分解```1.2x^3+x^2-13X+62.x^4+x^2+13.ab(a+b)^2-(a+b)^2+14.x^4+2001x^2+2000x+2001都用因式分解```大家帮个忙哈```解题过程尽量具体些```
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![因式分解```1.2x^3+x^2-13X+62.x^4+x^2+13.ab(a+b)^2-(a+b)^2+14.x^4+2001x^2+2000x+2001都用因式分解```大家帮个忙哈```解题过程尽量具体些```](/uploads/image/z/3025924-52-4.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%60%60%601.2x%5E3%2Bx%5E2-13X%2B62.x%5E4%2Bx%5E2%2B13.ab%28a%2Bb%29%5E2-%28a%2Bb%29%5E2%2B14.x%5E4%2B2001x%5E2%2B2000x%2B2001%E9%83%BD%E7%94%A8%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%60%60%60%E5%A4%A7%E5%AE%B6%E5%B8%AE%E4%B8%AA%E5%BF%99%E5%93%88%60%60%60%E8%A7%A3%E9%A2%98%E8%BF%87%E7%A8%8B%E5%B0%BD%E9%87%8F%E5%85%B7%E4%BD%93%E4%BA%9B%60%60%60)
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因式分解```1.2x^3+x^2-13X+62.x^4+x^2+13.ab(a+b)^2-(a+b)^2+14.x^4+2001x^2+2000x+2001都用因式分解```大家帮个忙哈```解题过程尽量具体些```
因式分解```
1.2x^3+x^2-13X+6
2.x^4+x^2+1
3.ab(a+b)^2-(a+b)^2+1
4.x^4+2001x^2+2000x+2001
都用因式分解```大家帮个忙哈```解题过程尽量具体些```
因式分解```1.2x^3+x^2-13X+62.x^4+x^2+13.ab(a+b)^2-(a+b)^2+14.x^4+2001x^2+2000x+2001都用因式分解```大家帮个忙哈```解题过程尽量具体些```
1.2x^3+x^2-13X+6
=(2x^3-4x^2)+(5x^2-10x)+(-3x+6)
=2x^2(x-2)+5x(x-2)-3(x-2)
=(x-2)(2x^2+5x-3)
=(x-2)(x+3)(2x-1).
2.x^4+x^2+1
=(x^4+2x^2+1)-x^2
=(x^2+1)^2-x^2
=(x^2+x+1)(x^2-x+1).
3.ab(a+b)^2-(a+b)^2+1
=ab(a+b)^2-a(a+b)-b(a+b)+1
=a(a+b)[b(a+b)-1]-[b(a+b)-1]
=(b^2+ab-1)(a^2+ab-1).
4.x^4+2001x^2+2000x+2001
=(x^4-x)+(2001x^2+2001x+2001)
=x(x-1)(x^2+x+1)+2001(x^2+x+1)
=(x^2+x+1)(x^2-x+2001).