(2x-y)^3+(y-3z)^3+(3z-2x)^3 .
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Answered by
5
Solution :
*************************************
We know that ,
If a + b + c = 0 , then
a³ + b³ + c³ = 3abc
**************************************
Here ,
a = 2x - y ,
b = y - 3z ,
c = 3z - 2x
Now ,
a + b + c
= 2x - y + y - 3z + 3z - 2x
= 0
Therefore ,
a³ + b³ + c³
= ( 2x-y )³ + ( y - 3z )³ + ( 3z - 2x )³
= 3abc
= 3( 2x - y )( y - 3z )( 3z - 2x )
••••••
*************************************
We know that ,
If a + b + c = 0 , then
a³ + b³ + c³ = 3abc
**************************************
Here ,
a = 2x - y ,
b = y - 3z ,
c = 3z - 2x
Now ,
a + b + c
= 2x - y + y - 3z + 3z - 2x
= 0
Therefore ,
a³ + b³ + c³
= ( 2x-y )³ + ( y - 3z )³ + ( 3z - 2x )³
= 3abc
= 3( 2x - y )( y - 3z )( 3z - 2x )
••••••
Answered by
0
Answer:
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