Question

if a^2+b^2+c^2=ab+bc+ac,then a^3+b^3+c^3​

Answer 1

Answer:

don't know don't know don't know

Answer 2

Answer:

∵ a

3

+ b

3

+ c

3

- 3abc

= (a

2

+ b

2

+ c

2

- ab - bc - ca)(a + b + c)

= a

2

+ b

2

+ c

2

= ab + bc + ca (given)

⇒ (a

2

+ b

2

+ c

2

- ab - bc - ca) = 0

∴ a

3

+ b

3

+ c

3

- 3abc

(a + b + c) x 0 = 0

∴ a

3

+ b

3

+ c

3

= 3abc