Question

19. The sum of three numbers is zero and their prod
uct is 30. The sum of their cubes is:[AMU:1997-98​

Answer 1

Hie Good Morning! Here's your answer!

Answer:

a³+b³+c³ =3abc

Step-by-step explanation:

if x+y+z=0

xyz=30

x³+y³+z³=3xyz

so it will be 3 x 30 = 90

as we know,

a³+b³+c³- 3abc = ( a+b+c )  ( a² + b ²+ c ² - ab - bc -ca )

if a+b+c=0

a³+b³+c³ =3abc

#HappyStudying

Answer 2

Answer:

Hi,here is your answer

x+y+z=0

xyz=30

x3+y3+z3=3xyz

using identity a3+b3+c3=3abc

x3+y3+z3=3xyz=3×30

=90