Question

plz solve its urgent plz​

Answer 1

Given : (x + y + z)³   - (y + z - x)³  + (z - x - y )³ + (x + y - z)³ = 24xyz

To find : prove that

Solution:

(x + y + z)³   - (y + z - x)³  + (z - x - y )³ + (x + y - z)³

= (x + y + z)³   - (y + z - x)³  + (-(x + y - z) )³ + (x + y - z)³

= (x + y + z)³   - (y + z - x)³  - (x + y - z)³ + (x + y - z)³

=  (x + y + z)³   - (y + z - x)³

a³ - b³  = ( a- b) (a² + b² + ab)

=( x + y + z - y - z + x) (  (x + y + z)² + (y + z - x)² +   (x + y + z)(y + z - x))

= 2x{ ( x² + y² + z² + 2(xy + yz + xz) + (  x² + y² + z² + 2(-xy - xz + yz)) + y² + z²  + 2yz - x²)}

= 2x{ x² + 3y² + 3z²  + 6yz)

Hence looks mistake in data

Learn more:

a+b+c=3 a^2+b^2+c^2=6 1/a+1/b+1/c=1 find values of a , b and c

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