Without actually calculating the cubes find the value of 55^3-25^3-30^3
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2
Answer:
we know that,
X+y+z=0,
x^3+y^3+z^3=3xyz
according to the question,
let X=55, Y=-25 and Z=-30
X+y+z=55+(-25)+(-30)
=55-25-30
=55-55
=0
so, X+y+z=0
therefore, x^3+y^3+z^3=3xyz
=55^3+(25)^3+(-30)^3
=3×55×-25×-30
=165×750
Ans =123750
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