Calculate the value of the follow expression:
( x y + z x ) ( y z + x y ) ( z x + y z ) [ ( x + y + z ) 3 − x 3 − y 3 − z 3 ] [ ( x + y + z ) 3 − ( x + y − z ) 3 − ( y + z − x ) 3 − ( z + x − y ) 3 ]
Notation:
⎩ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎧ x y + z x y z + x y z x + y z = 0 = 0 = 0
This is part of the series: " It's easy, believe me! "
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XD!!! Well....I'm trying to solve it right now using some factorization.......but its too tedious.....my method is better in competitive exams......
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