be reals such that 
. Prove that
Let 
. Prove that
![\[
\frac{(x+y+z)^5 - x^5 - y^5 - z^5}{(x+y)(y+z)(z+x)} = 0
\]](http://latex.artofproblemsolving.com/7/8/f/78f8e6c2570684631dc288144e13568d71e68ec8.png)
Y by
The line passing through the midpoint 
of the hypotenuse 
of the right triangle 
parallel to line 
, intersects the extension of the bisector 
of angle beyond point 
at point 
. Find 
if 
.
of the hypotenuse 
of the right triangle 
parallel to line 
, intersects the extension of the bisector 
of angle beyond point 
at point 
. Find 
if 
.This post has been edited 1 time. Last edited by parmenides51, Mar 10, 2021, 3:51 PM
,
.
so 
is also isosceles. We also know that 
and 
.
.
