a3+b3 怎么因式分解的

a3\u2014b3\u600e\u4e48\u56e0\u5f0f\u5206\u89e3

a³\uff0bb³
\uff1da³\uff0ba²b\uff0ddua²b\uff0bb³
\uff1da²(a\uff0bb)\uff0db(a²-b²)
\uff1da²(a\uff0bb)\uff0db(a\uff0bb)(a\uff0db)
\uff1d(a\uff0bb)[a²\uff0db(a\uff0db)]
\uff1d(a\uff0bb)(a²\uff0dab\uff0bb²)
\u6269\u5c55\u8d44\u6599\uff1a
\u5176\u4ed6\u76f8\u5173\u516c\u5f0f\uff1a
\uff081\uff09\uff08a+b\uff09³
\uff1da³\uff0b3a²b\uff0b3ab²\uff0bb³
\uff082\uff09a³\uff0db³
\uff1da³\uff0da²b\uff0ba²b\uff0db³
\uff1da²(a\uff0db)\uff0bb(a²\uff0db²)
\uff1da²(a\uff0db)\uff0bb(a\uff0bb)(a\uff0db)
\uff1d(a\uff0db)[a²\uff0bb(a\uff0bb)]
\uff1d(a\uff0db)(a²\uff0bab\uff0bb²)
\uff083\uff09a²-b²
=\uff08a+b\uff09\uff08a-b\uff09

a³\uff0bb³
\uff1da³\uff0ba²b\uff0ddua²b\uff0bb³
\uff1da²(a\uff0bb)\uff0db(a²-b²)
\uff1da²(a\uff0bb)\uff0db(a\uff0bb)(a\uff0db)
\uff1d(a\uff0bb)[a²\uff0db(a\uff0db)]
\uff1d(a\uff0bb)(a²\uff0dab\uff0bb²)
\u6269\u5c55\u8d44\u6599\uff1a
\u5176\u4ed6\u76f8\u5173\u516c\u5f0f\uff1a
\uff081\uff09\uff08a+b\uff09³
\uff1da³\uff0b3a²b\uff0b3ab²\uff0bb³
\uff082\uff09a³\uff0db³
\uff1da³\uff0da²b\uff0ba²b\uff0db³
\uff1da²(a\uff0db)\uff0bb(a²\uff0db²)
\uff1da²(a\uff0db)\uff0bb(a\uff0bb)(a\uff0db)
\uff1d(a\uff0db)[a²\uff0bb(a\uff0bb)]
\uff1d(a\uff0db)(a²\uff0bab\uff0bb²)
\uff083\uff09a²-b²
=\uff08a+b\uff09\uff08a-b\uff09

a^3+b^3+c^3-3abc
=(a^3+3a^2b+3ab^2+b^3+c^3)-(3abc+3a^2b+3ab^2)
=[(a+b)^3+c^3]-3ab(a+b+c)
=(a+b+c)(a^2+b^2+2ab-ac-bc+c^2)-3ab(a+b+c)
=(a+b+c)(a^2+b^2+c^2+2ab-3ab-ac-bc)
=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)
打字不易，如满意，望采纳。

a^3+b^3=(a+b)(a^2-ab+b^2)
a^3-b^3=(a-b)(a^2+ab+b^2)大概这样

（a+b）(a2-ab+b2)

3（a+b）

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