Factorization?

2016-08-22 1:04 pm
use the results of factorize a^3-a^2b+ab^2
and a^2b-ab^2+b^3,
factorize a^3+b^3

回答 (2)

2016-08-22 1:53 pm
✔ 最佳答案
Sol
a^3-a^2b+ab^2=a(a^2-ab+b^2)
a^2b-ab^2+b^3=b(a^2-ab+b^2)
a^3+b^3
=(a^3-a^2b+ab^2)+(a^2b-ab^2+b^3)
=a(a^2-ab+b^2)+b(a^2-ab+b^2)
=(a+b)(a^2-ab+b^2)
2016-10-13 1:03 am
(a+b)(a^2-ab+b^2)


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