1 by 2 ka whole cubeplus 1 by 3 ka whole cube minus 5 by 6 ka whole cube without actually calculating the cubes find the value of
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Answered by
1
Answer:
In this question a^3+b^3+c^3=?
a+b+c=0
so answer will be 3abc
that is 3*1\2*1\3*1\6=1\12
Step-by-step explanation:
Answered by
4
Hi ,
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If x + y + z = 0 then
x³ + y³ + z³ = 3xyz
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Here ,
x = 1/2 ,
y = 1/3 ,
z = - 5/6
x + y + z
= 1/2 + 1/3 - 5/6
= ( 3 + 2 )/6 - 5/6
= 5/6 - 5/6
= 0 ,
Therefore ,
x³ + y³ + z³
= ( 1/2 )³ + ( 1/3 )³ + ( -5/6 )³
= 3 × ( 1/2 ) × ( 1/3 ) × ( -5/6 )
= - ( 3 × 5 )/ ( 2 × 3 × 6 )
= -5/12
I hope this helps you.
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