因式分解a^4n-a^3nb^m+a^nb^3m-b^4m

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因式分解a^4n-a^3nb^m+a^nb^3m-b^4m因式分解a^4n-a^3nb^m+a^nb^3m-b^4m因式分解a^4n-a^3nb^m+a^nb^3m-b^4m原式=(a^4n-a^3n

因式分解a^4n-a^3nb^m+a^nb^3m-b^4m
因式分解a^4n-a^3nb^m+a^nb^3m-b^4m

因式分解a^4n-a^3nb^m+a^nb^3m-b^4m
原式=(a^4n-a^3nb^m)+(a^nb^3m-b^4m)
=a^3n(a^n-b^m)+b^3m(a^n-b^m)
=(a^n-b^m)(a^3n+b^3m)
=(a^n-b^m)(a^n+b^m)(a^2n-a^nb^m+b^2m)