a^3n-1+a^2n-1 因式分解a^3n-1+a^2n-1 因式分解

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a^3n-1+a^2n-1 因式分解a^3n-1+a^2n-1 因式分解
a^3n-1+a^2n-1 因式分解
a^3n-1+a^2n-1 因式分解

a^3n-1+a^2n-1 因式分解a^3n-1+a^2n-1 因式分解
a^3n-1+a^2n-1
=(a^n-1)(a^2n+a^n+1)+(a^n-1)(a^n+1)
=(a^n-1)[(a^2n+a^n+1)+(a^n+1)]
=(a^n-1)(a^2n+2*a^n+2)

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

(a^n-1)(a^n+1)²

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

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