if x/y =(2/3)-³×5/6,find the value of (x/y)-³
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Answer:
Step-by-step explanation:
Answered by
1
Answer:
Step-by-step explanation:
We know that ,
If x + y + z = 0 , then
x³ + y³ + z³ = 3xyz
Here ,
( 1/2 )³+( 1/3 )³ - ( 5/6 )³
= ( 1/2 )³ + ( 1/3 )³ + ( -5/6 )³
x = 1/2 , y = 1/3 , z = -5/6
Now ,
x + y + z
= 1/2 + 1/3 + ( -5/6 )
= 1/2 + 1/3 - 5/6
= ( 3 + 2 - 5 )/6 [ Since LCM = 6 ]
= 0/6
= 0
( 1/2 )³ + ( 1/3 )³ + ( -5/6 )³
= 3xyz
= 3( 1/2 )( 1/3 )( -5/6 )
= - 5/12
Therefore ,
( 1/2 )³ + ( 1/3 )³ + ( -5/6 )³
= -5/12
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