a^4+2a^3b+3a^2b^2+2ab^3+b^4分解急用

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a^4+2a^3b+3a^2b^2+2ab^3+b^4分解急用a^4+2a^3b+3a^2b^2+2ab^3+b^4分解急用a^4+2a^3b+3a^2b^2+2ab^3+b^4分解急用a^4+2a^

a^4+2a^3b+3a^2b^2+2ab^3+b^4分解急用
a^4+2a^3b+3a^2b^2+2ab^3+b^4
分解急用

a^4+2a^3b+3a^2b^2+2ab^3+b^4分解急用
a^4+2a^3b+3a^2b^2+2ab^3+b^4
=(a^4+b^4+a^2b^2)+2ab(a^2+ab+b^2)
=[(a^2+b^2)^2-a^2b^2]+2ab(a^2+ab+b^2)
=(a^2+ab+b^2)(a^2-ab+b^2)+)+2ab(a^2+ab+b^2)
=(a^2+ab+b^2)^2