F.2 Math question

2009-12-23 6:07 am
1/(a-c)(a-b) + 1/(b-a)(b-c) + 1/(c-a)(c-b)

Simplify it

give me the full step

回答 (1)

2009-12-23 6:37 am
✔ 最佳答案
1/(a-c)(a-b) + 1/(b-a)(b-c) + 1/(c-a)(c-b)
= 1/(a-c)(a-b) - 1/(a-b)(b-c) + 1/(a-c)(b-c)
通分母
= (b-c)/(a-c)(a-b)(b-c) - (a-c)/(a-c)(a-b)(b-c) + (a-b)/(a-c)(a-b)(b-c)
= (b - c - a + c + a - b)/(a-c)(a-b)(b-c)
= 0


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