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Maths Puzzle
[(55*55*55)-(42*42*42)=...???
Read Solution (Total 4)
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- [(55*55*55)-(42*42*42)= 166375 - 74088 = 92287
- 12 years agoHelpfull: Yes(2) No(2)
- (a^3-b^3)=(a-b)(a^2+ab+b^2+ab)
a=55,b=42
(55*55*55)-(42*42*42)=(55-42)(55^2+55*42+42^2)
=92287(ans)
- 12 years agoHelpfull: Yes(2) No(3)
- As we know a^3-b^3=(a-b)^3+3ab(a-b)
So, (55*55*55)-(42*42*42)
=(55-42)^3+3*55*42*(55-42)
=13^3+3*55*42*13
=2197+90090
=92287 - 12 years agoHelpfull: Yes(0) No(1)
- as we know (a^3-b^3)=(a-b)(a^2+ab+b^2)
a=55,b=42
(55*55*55)-(42*42*42)=(55-42)(55^2+55*42+42^2)
=92287(ans) - 12 years agoHelpfull: Yes(0) No(1)
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