Question

Prove that the value of the expression: (125^2+25^2)(5^2–1) is divisible by 39

Answer 1

(1252+252)(52−1)

=(1252+252)(52+−1)

=(1252)(52)+(1252)(−1)+(252)(52)+(252)(−1)

=390625−15625+15625−625

=390000

divide by 39 is

=10000