How many cubic inches in a cubic foot?
Find the greatest integer not greater than (\sqrt{3} +\sqrt{5} )^6
The greatest integer less than or equal to (1+\sqrt{2} )^6
Factor x^6-y^6
Show that
(x-y)^3+(y-z)^3+(z-x)^3=3(x-y)(y-x)(z-x)
Let (x,y,z) with x\geq y\geq z\geq 0 be integers such that
\dfrac{x^3+y^3+z^3}{3}=xyz+21
Find x.
If a+b+c=1, a^2+b^2+c^2=2,a^3+b^3+ c^3=3, then find the value of a^4+b^4+c^4
