(a+b)除以(a^2-ab+b^2)*(a^3+b^3)

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(a+b)除以(a^2-ab+b^2)*(a^3+b^3)
(a+b)除以(a^2-ab+b^2)*(a^3+b^3)

(a+b)除以(a^2-ab+b^2)*(a^3+b^3)
(a+b)÷(a^2-ab+b^2)*(a^3+b^3)
=(a+b)(a+b)(a^2-ab+b^2)÷(a^2-ab+b^2)
=(a+b)^2
=a^2+2ab+b^2

[(a+b)/(a^2-ab+b^2)]*(a^3+b^3)
=(a+b)(a^3+b^3)/(a^2-ab+b^2)
=(a+b)(a+b)(a^2-ab+b^2)/(a^2-ab+b^2)
=(a+b)^2

(a+b)/(a^2-ab+b^2)*(a^3+b^3)
= (a+b)^2 / (a+b)(a^2-ab+b^2) * (a^3+b^3)
= (a+b)^2 / (a^3+b^3) * (a^3+b^3)
= (a+b)^2