a^4+a^3-a-1(因式分解)

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a^4+a^3-a-1(因式分解)
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a^4+a^3-a-1(因式分解)
a^4+a^3-a-1(因式分解)

a^4+a^3-a-1(因式分解)
a^4+a^3--a--1=a^3(a+1)--(a+1)
=(a+1)(a^3--1)
=(a+1)(a--1)(a2+a+1)


收起

a^3(a+1)-a-1
=(a+1)(a^3-1)-2
=(a+1)(a-1)(a^2 + a + 1)-2

a^4+a^3-a-1
=(a+1)*a^3-(a+1)
=(a+1)*(a^3-1^3)
=(a+1)*(a-1)*(a^2+1+a)
望采纳。

a^4+a^3-a-1=a³(a+1)-(a+1)=(a+1)(a³-1)
=(a+1)(a-1)(a²+a+1)

=a^4-1+a^3-a
=(a^2-1)(a^2+1)+a(a^2-1)
=(a^2-1)(a^2+a-1)
希望你能够满意