(a/b)^3 + (b/c)^3 + (c/a)^3 -3 factorize
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1
Answer:
(a/b)^3 + (b/c)^3 + (c/a)^3 - 3
= (a/b + b/c + c/a)((a/b)^2 + (b/c)^2 + (c/a)^2 - (a/b × b/c) - (b/c × c/a) - (c/a × a/b)
= (a/b + b/c + c/a)((a/b)^2 + (b/c)^2 + (c/a)^2 - (a/c) - (b/a) - (c/b))
Answered by
0
Answer:
=(a/b+b/c+c/a) {(a/b)^2(b/c)^2(c/a)^2-a/b-b/c-c/a}
=(abc/bca) {(abc^2/bca^2 -abc/bca}
=0
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