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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: Divisibilty
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pink_ele (1235)

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Olaaa!! Perrrfect answer. 203  [313 rates]

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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..............


 


 


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