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That's correct.
The problem I had stumbled on was actually
(a-x)(b-x)(c-x)...(z-x)
but I thought that one would have been too obvious, so I decided to rewrite it in the way I did.
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(a-x)(b-x)(c-x)...(z-x)
(a+2)^2 = (a^2+4a+4)
.x^3
is an odd function and the intervals are symmetric around 0.ln(e^a) = a
etc.(x-x) = 0
, the end result must be