因式分解:帮个忙 x^3+3x^2+3x-26 x^4-4x+3 a^4+2a^3+2a^2+2a+1 x^3-7x+6
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/08/23 12:45:10
因式分解:帮个忙 x^3+3x^2+3x-26 x^4-4x+3 a^4+2a^3+2a^2+2a+1 x^3-7x+6 x^3+4x-13x-24 x^4-11x+1
x^3+3x^2+3x-26
=(x+1)^3-3^3
=(x+1-3)((x+1)^2+3(x+1)+3^2)
=(x-2)(x^2+5x+13)
x^4-4x+3
x^4-4x+3
=(x^4-x)-(3x-3)
=x(x^3-1)-3(x-1)
=x(x-1)(x^2+x+1)-3(x-1)
=(x-1)(x^3+x^2+x-3)
=(x-1)[(x^3-1)+(x^2-1)+(x-1)]
=(x-1)[(x-1)(x^2+x+1)+(x-1)(x+1)+(x-1)]
=(x-1)^2[(x^2+x+1)+(x+1)+1]
=(x-1)^2(x^2+2x+3)
a^4+2a^3+2a^2+2a+1
=(a^4+2a^3+a^2)+(a^2+2a+1)
=a^2(a+1)^2+(a+1)^2
=(a+1)^2(a^2+1)
x^3 -7x +6
=x^3-x-6(x-1)
=x(x+1)(x-1)-6(x-1)
=(x-1)(x*x+x-6)
=(x-1)(x+3)(x-2)
x^3+4x^2-13x-24
=(x^3-27)+(4x^2-13x+3)
=(x-3)(x^2+3x+9)+(4x-1)(x-3)
=(x-3)(x^2+3x+9+4x-1)
=(x-3)(x^2+7x+8)
x^4-11x^2+1
=(x^4-2x^2+1)-9x^2
=(x^2-1)^2-(3x)^2
=(x^2+3x-1)(x^2-3x-1)
=(x+1)^3-3^3
=(x+1-3)((x+1)^2+3(x+1)+3^2)
=(x-2)(x^2+5x+13)
x^4-4x+3
x^4-4x+3
=(x^4-x)-(3x-3)
=x(x^3-1)-3(x-1)
=x(x-1)(x^2+x+1)-3(x-1)
=(x-1)(x^3+x^2+x-3)
=(x-1)[(x^3-1)+(x^2-1)+(x-1)]
=(x-1)[(x-1)(x^2+x+1)+(x-1)(x+1)+(x-1)]
=(x-1)^2[(x^2+x+1)+(x+1)+1]
=(x-1)^2(x^2+2x+3)
a^4+2a^3+2a^2+2a+1
=(a^4+2a^3+a^2)+(a^2+2a+1)
=a^2(a+1)^2+(a+1)^2
=(a+1)^2(a^2+1)
x^3 -7x +6
=x^3-x-6(x-1)
=x(x+1)(x-1)-6(x-1)
=(x-1)(x*x+x-6)
=(x-1)(x+3)(x-2)
x^3+4x^2-13x-24
=(x^3-27)+(4x^2-13x+3)
=(x-3)(x^2+3x+9)+(4x-1)(x-3)
=(x-3)(x^2+3x+9+4x-1)
=(x-3)(x^2+7x+8)
x^4-11x^2+1
=(x^4-2x^2+1)-9x^2
=(x^2-1)^2-(3x)^2
=(x^2+3x-1)(x^2-3x-1)
(x+a)(x+2a)(x+3a)(x+4a)+a^4如何因式分解?
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因式分解:帮个忙 x^3+3x^2+3x-26 x^4-4x+3 a^4+2a^3+2a^2+2a+1 x^3-7x+6
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