Simplify: (xp/xq)p+q . (xq/xr)q+r . (xr/xp)r+p
(xp/xq)p+q *
(xq/xr)q+r *
(xr/xp)r+p
=(xp-q)p+q *
(xq-r)q+r *
(xr-p)r+p
=(x)p2-q2 *
(x)q2-r2 *
(x)r2-p2
=(x)p2-q2+q2-r2+r2-p2
=(x)0
=1
Simplify: (xp/xq)p+q . (xq/xr)q+r . (xr/xp)r+p
(xp/xq)p+q *
(xq/xr)q+r *
(xr/xp)r+p
=(xp-q)p+q *
(xq-r)q+r *
(xr-p)r+p
=(x)p2-q2 *
(x)q2-r2 *
(x)r2-p2
=(x)p2-q2+q2-r2+r2-p2
=(x)0
=1