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Mathematics
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arunoruto
  • Member for 9 years, 10 months
  • Last seen more than 1 year ago
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12
Prove that $a+b$ can't divide $a^a+b^b$ nor $a^b+b^a$
10
Proving the inequality $4\ge a^2b+b^2c+c^2a+abc$
10
Let $p$ be a prime so $p\equiv3\pmod4$. If $p|a^2+b^2$, then $p|a,b$
9
Closed form of $\int\limits_0^{2\pi} \prod\limits_{j=1}^n \cos(jx)dx$ and combinatorial link
8
Solve the following functional equation $f(xf(y))+f(yf(x))=2xy$