# Tessellate S.T.E.M.S - Mathematics - School - Set 2 - Subjective Problem

For positive real numbers $$a,b,c,d,e$$ prove that $(a^3-a+2)(b^3-b+2)(c^3-c+2)(d^3-d+2)(e^3-e+2) \geq \left( S_4- S_2 +1 \right)^2$

where $$S_4 = abcd + abce + abde + acde + bcde \\ S_2 = ab+ac+ad+ae+bc+bd+be+cd+ce+de$$.

This problem is a part of Tessellate S.T.E.M.S.

Note by Aditya Raut
6 months, 3 weeks ago

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- 6 months, 1 week ago

i have written the solution.

- 6 months, 1 week ago

I can't understand how to do it

- 6 months, 1 week ago

just break the brackets by simple multiplying and then use AM>=GM and then it will be done.

- 6 months, 1 week ago

how i solve the problem

- 6 months, 1 week ago

Please show the solution.

- 6 months, 1 week ago

i have written the solution

- 6 months, 1 week ago