分解因式x^4-3x+1 x^4+4 x^4-23x^2y^2+y^4 x^4+64y^4 a^3-3a+2 x^3+x+30求解，要十分详细的

是x^4-3x^2+1；x^4+4；x^4-23x^2·y^2+y^4；x^4+64y^4； a^3-3a+2；x^3+x+30吧。
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x^4-3x^2+1
=x^4-2x^2+1-x^2
=(x^2+1)^2-x^2
=(x^2+x+1)(x^2-x+1)
`
x^4+4
=x^4+4x^2+4-4x^2
=(x^2+2)^2-(2x)^2
=(x^2+2x+2)(x^2-2x+2)
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x^4-23x^2 y^2+y^4
=x^4-2x^2 y^2+y^4-25x^2 y^2
=(x^2-y^2)^2-(5xy)^2
=(x^2-5xy-y^2)(x^2+5xy-y^2)
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x^4+64y^4
=x^4+16x^2 y^2+64y^4-16x^2 y^2
=(x^2+8y^2)^2-(4xy)^2
=(x^2-4xy+8y^2)(x^2+4xy+8y^2)
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a^3-3a+2
=(a^3-a^2)+(a^2-a)-2(a-1)
=(a^2+a-2)(a-1)
=[a(a-1)+2(a-1)](a-1)
=(a+2)(a-1)(a-1)
=(a+2)(a-1)^2
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x^3+x+30
=x^3+3x^2-3x^2-9x+10x+30
=x^2(x+3)-3x(x+3)+10(x+3)
=(x^2-3x+10)(x+3)
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希望能帮到你~！

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