Question

2. x + y +z =9 and x² + y² + z² = 35, find the value of x^3 + y^3+ z^3- 3 xyz.​

Answer 1

Answer:

Given

x+

y+

z=

0

⟹ x+ y= −z

Cubing on both sides

(x+ y)

3

= (−z)

3

⟹

x 3

y 3

3x

2

y+ 3xy

2

= −z

3

⟹

x 3

y 3

3xy(x+ y)= −z

3

⟹

x 3

y 3

3xy(−z)= −z

3

⟹

x 3

y 3

3xyz= −z

3

⟹

x 3

y 3

z 3

3xyz

Step-by-step explanation:

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