Factor $ab^3-ac^3+bc^3-ba^3+ca^3-cb^3$
130825
How to factor intricate polynomial $ ab^3 - a^3b + a^3c -ac^3 +bc^3 - b^3c $
48484
Prove that $6|a+b+c$ if and only if $6|a^3+b^3+c^3$
64754
Find $x$ in the equation $ax^3+bx^2+cx=d$
53725
Factor $(x+y)^4+x^4+y^4$
118507
Prove $\frac{ab}{1+c^2}+\frac{bc}{1+a^2}+\frac{ca}{1+b^2}\le\frac{3}{4}$ if $a^2+b^2+c^2=1$
86378
Prove that $3(a^3+b^3+c^3) > (a+b+c)(a^2+b^2+c^2)$
15985
simplify $(a_1 + a_2 +a_3+... +a_n)^m$
216
In a $\triangle ABC,a^2+b^2+c^2=ac+ab\sqrt3$,then the triangle is
58133
${a^2}{\mid}({b^3} + 1)\;$and$\;{b^2}{\mid}({a^3} + 1)$
47299
Factorize $x^8-x$ over $F_3$ and $F_{81}$
10589
How to factorize $5$ in $\mathbb{Z}[\root 3 \of 2]$?
148671
Trying to factor $x^4-3$ over $\Bbb{F}_p$ with $p\equiv 3\mod{4}$
55100
The positive integer solutions for $2^a+3^b=5^c$
29963
$6$ divides $a+b+c$ if and only if $6$ divides $a^{3}+b^{3}+c^{3}$
112676
Inequality $(a+b+c)(ab+bc+ca)(a^3+b^3+c^3)\le (a^2+b^2+c^2)^3$
63958
how to prove this inequality $(ab+bc+ac)^2 ≥ 3abc(a+b+c)$
116933
Let $a,b,c$ be non-negative real numbers , then $\frac{(a+b+c)^2}{3}\ge a\sqrt{bc}+b\sqrt{ca}+c\sqrt{ab}$?