here we take
a+b+c=30k
(a+b+c)^5=30^5k^5
=a 5+b+c+5{a4(b+c)+a(b+c)4+bc4+cb4}+60{a3(b+c)2...........c2b3}...............(i)
here d terms wid 60 outside bracket r already div by 30..
for d term 5{a4(b+c)+a(b+c)4+bc4+cb4}
=5{a(b+c)(a3+(b+c)3)+bc(b3+c3)
=5(a(b+c)(a^3+(30k-a^)3+bc(b^3+c^3)
=in above expression all is div by 30 except, 5bc(b^3+c^3)
aagey................................pata nai............hehehe
if above xpression is div by 30............den its proved..............