Answer:x² + y² + z² = 83
AND
x + y + z = 15
The value of , x³ + y³ + z³ - 3 x y z
Solution :
∵ ( x + y + z )² = x² + y² + z² + 2 ( x y + y z + z x )
And
x + y + z = 15
So, 83 + 2 ( x y + y z + z x ) = ( 15 )²
Or, 2 ( x y + y z + z x ) = 225 - 83
Or, 2 ( x y + y z + z x ) = 142
∴ ( x y + y z + z x ) =
i.e ( x y + y z + z x ) = 71
Again
∵ x³ + y³ + z³ - 3 x y z = ( x + y + z ) [ ( x² + y² + z² ) - ( x y + y z + z x ) ]
Or, = ( 15 ) × [ 83 - 71 ]
Or, = 15 × 12
i.e = 180
Hence, The value of x³ + y³ + z³ - 3 x y z is 180 . Answer
Step-by-step explanation:
Answer:
Hence, The value of x³ + y³ + z³ - 3 x y z is 180 . Is the Answer
Hoped I helped
