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Step-by-step explanation:
D.0
Answer:
Step-by-step explanation:
Given a + b + c = x2x2
Then value of
(x3x3 -2a )3 + (x3x3-2b )3 + ( x3x3 - 2c )3 - 3( x3x3 -2a ) ( x3x3 - 2b ) ( x3x3 - 2c )
We know
x3 + y3 + z3 - 3xyz = ( x + y + z ) ( x2 + y2 + z2 - xy - yz - zx )
So we can see that here
x = (x3x3 -2a )
y = (x3x3 -2b )
z = (x3x3 -2c )
Now , we apply formula nad get
⇒⇒[ (x3x3 -2a ) + (x3x3 -2b ) + (x3x3 -2a ) ] [ (x3x3 -2a )2 + (x3x3 -2b )2 + (x3x3 -2c )2 - (x3x3 -2a )(x3x3 -2b ) - (x3x3 -2b )(x3x3 -2c ) - (x3x3 -2c )(x3x3 -2a ) ]
Let [ (x3x3 -2a )2 + (x3x3 -2b )2 + (x3x3 -2c )2 - (x3x3 -2a )(x3x3 -2b ) - (x3x3 -2b )(x3x3 -2c ) - (x3x3 -2c )(x3x3 -2a ) ] = A
So,
⇒⇒[ (x3x3 -2a ) + (x3x3 -2b ) + (x3x3 -2a ) ] A
⇒⇒[ x3x3+ x3x3 + x3x3 -2a -2b -2a ] A
⇒⇒[ x -2 ( a + b + c ) ] A
Now As given a + b + c = x2x2 , we get
⇒⇒[ x -2 ( x2x2 )] A
⇒⇒ [ x - x ] A
⇒⇒ 0 ×× A
⇒⇒ 0
So,
(x3x3 -2a )3 + (x3x3-2b )3 + ( x3x3 - 2c )3 - 3( x3x3 -2a ) ( x3x3 - 2b ) ( x3x3 - 2c ) = 0