Factorization公式

第三四行錯左
a^3 + b^3=(a+b)(a^2-ab+b^2)
a^3 - b^3=(a-b)(a^2+ab+b^2)
(a+b)^4=a^4+4 a^3 b+6 a^2 b^2+4 a b^3+b^4
(a-b)^4=a^4-4 a^3 b+6 a^2 b^2-4 a b^3+b^4
(a+b)^5=a^5 + 5 a^4 b + 10 a^3 b^2 + 10 a^2 b^3 + 5 a b^4 + b^5
(a-b)^5=a^5 - 5 a^4 b + 10 a^3 b^2 - 10 a^2 b^3 + 5 a b^4 - b^5
(a+b)^6=a^6+6 a^5 b + 15 a^4 b^2 + 20 a^3 b^3 + 15a^2 b^4 + 6 a b^5 +b^6
(a-b)^6=a^6-6 a^5 b + 15 a^4 b^2 - 20 a^3 b^3 + 15a^2 b^4 - 6 a b^5 +b^6

(a+b)^4 = a^4+4a^3b+6a^2b^2+4ab^3+b^4
(a-b)^4 = a^4-4a^3b+6a^2b^2-4ab^3+b^4

(a+b)^5 = a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5
(a-b)^5 = a^5-5a^4b+10a^3b^2-10a^2b^3+5ab^4-b^5

(a+b)^6 = a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6
(a-b)^6 = a^6-6a^5b+15a^4b^2-20a^3b^3+15a^2b^4-6ab^5+b^6