If + + = + + =0 , then the value of 3 + 3 + 3 is

Step-by-step solution

aligned & Let a= +i & aligned b & = +i c & = +i aligned aligned then; a+b+c=( + + )+i( + + )=0+i 0=0 a^3+b^3+c^3=3 a b c aligned & ( 3 +i 3 )+( 3 &+i 3 ) &+( 3 +i 3 ) aligned =3[ ( + + )+i ( + + )] 3 + 3 + 3 =3 ( + + )