If p+1/p= 112, find (p - 112)^15+1/(p^15).

If $p+\frac{1}{p}= 112,$

find $(p - 112)^{15}+\frac{1}{p^{15}}$

If $p+\frac{1}{p}= 112,$

= p - 112 = -$\frac{1}{p}$

Put this value in required equation,

$(p - 112)^{15}+\frac{1}{p^{15}}$ = ( -$\frac{1}{p}$)¹⁵ + $\frac{1}{p^{15}}$ = 0