Question

The value of 52³ – 32³ – 20³ is..........
How to do this problem without calculation??

Answer 1

Heya.........!!!!

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This question can be easily solved by applying an identity .

=> We know that if a + b + c = 0 , Then a³ + b³ + c³ = 3×a×b×c .

In the question :-
=> 52 + ( - 32 ) + ( - 20 )
=> 52 - 32 - 20
=> 52 - 52
=> 0

It's zero .

So we can apply that identity .

=> 52³ + ( - 32 )³ + (- 20)³ = 3 ( 52 × -20 × - 32 ) .

=> 99840 is the required answer .


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Hope It Helps You ☺

Answer 2

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This question can be easily solved by applying an identity .

=> We know that if a + b + c = 0 , Then a³ + b³ + c³ = 3×a×b×c .

In the question :-

=> 52 + ( - 32 ) + ( - 20 )

=> 52 - 32 - 20

=> 52 - 52

=> 0

It's zero .

So we can apply that identity .

=> 52³ + ( - 32 )³ + (- 20)³ = 3 ( 52 × -20 × - 32 ) .

=> 99840 is the required answer .

HOPE SO IT WILL HELP .......