Show that 1992^ 1998 - 1955^ 1998 - 1938^ 1998 + 1901^ 1998 is divisible by 37.

MATHEMATICS · Subjective · CBSE · Mathematics · Number Play · Number Play

Problem

Show that

1992^{1998} - 1955^{1998} - 1938^{1998} + 1901^{1998}

is divisible by 37.