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 Jul 7 answered $\lim_{x\to{\infty}} (x-\sqrt{x^2+x})$ Jul 7 answered ${2000\choose1}+{2000\choose4}+{2000\choose7}+\cdots +{2000\choose1996}+{2000\choose1999}=?$ Jul 7 answered what is the greatest integer that divides $p^4-1$ for every prime number p greater than 5 Jul 7 comment principal arguement of a complex number. principal argZ1 = a and principal argZ2=b . what will be arguement of (Z1.Z2) when a+b is greater than pi. See the formula here: math.stackexchange.com/questions/138310/… OR in my answer here : math.stackexchange.com/questions/523625/… Jul 7 comment Transfering to function when power of the x in power series is odd Jul 7 answered Find the cubic equation of roots $α, β, γ$. Jul 7 answered Find the cubic equation of roots $α, β, γ$. Jul 7 answered Product of cosines: $\prod_{r=1}^{7} \cos \left(\frac{r\pi}{15}\right)$ Jul 6 comment The solutions to $x^m \equiv 1 \bmod p$ will all be solutions to $x^{mn} \equiv 1 \bmod p$ for any $n$. $$x^{mn}=(x^m)^n$$ See math.stackexchange.com/questions/188657/… Jul 6 answered Integrating $\sqrt{1-x^2}$ without using trigonometry Jul 6 answered How do I show that:if$p$ is prime $>5$ then $p^4-20p^2+19$ is always divisible by $180$.? Jul 6 revised Interesting summation question: If $a$ and $b$ are the roots of $x^2+x+1$, then what is the below expression equal to? added 52 characters in body Jul 6 revised Interesting summation question: If $a$ and $b$ are the roots of $x^2+x+1$, then what is the below expression equal to? added 52 characters in body Jul 6 answered Interesting summation question: If $a$ and $b$ are the roots of $x^2+x+1$, then what is the below expression equal to? Jul 6 awarded Enlightened Jul 6 answered An easy way to calculate $12^{101} \bmod 551$? Jul 6 awarded Nice Answer Jul 6 answered Square roots equations Jul 6 answered Square roots equations Jul 6 answered Show that in any triangle, we have $\frac{a\sin A+b\sin B+c\sin C}{a\cos A+b\cos B+c\cos C}=R\left(\frac{a^2+b^2+c^2}{abc}\right),$