" (v) If "a+b+c=0," then "a^(3)+b^(3)+c^(3)=

Condition identitiy : If a+b+c=0 then a^(3)+b^(3)+c^(3)=3abc

If a+b+c=0 , then (a^(3) + b^(3) + c^(3) ) div (abc) is equal to

If a statement is true for all the values of the variable, such statements are called as identities. Some basic identities are : (1) (a+b)^(2)=a^(2)+2ab+b^(2)=(a-b)^(2)+4ab (3) a^(2)-b^(2)=(a+b)(a-b) (4) (a+b)^(3)=a^(3)+b^(3)+3ab(a+b) (6) a^(3)+b^(3)=(a+b)^(3)=3ab(a+b)=(a+b) (a^(2)-ab) (8) (a+b+c)^(2)=a^(2)+b^(2)+c^(2)+2ab+2bc+2ca=a^(2)+b^(2)+c^(2)+2abc((1)/(a)+(1)/(b)+(1)/(c)) (10) a^(3)+b^(3)+c^(3)-3abc=(a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ca) =1/2(a+b+c)[(a-b)^(2)+(b-c)^(2)+(c-a)^(2)] If a+b+c=0,thena^(3)+b^(3)+c^(3)=3abc If a,b, c are real and distinct numbers, then the value of ((a-b)^(3)+(b-c)^(3)+(c-a)^(3))/((a-b).(b-c).(c-a))is

If a statement is true for all the values of the variable, such statements are called as identities. Some basic identities are : (1) (a+b)^(2)=a^(2)+2ab+b^(2)=(a-b)^(2)+4ab (3) a^(2)-b^(2)=(a+b)(a-b) (4) (a+b)^(3)=a^(3)+b^(3)+3ab(a+b) (6) a^(3)+b^(3)=(a+b)^(3)=3ab(a+b)=(a+b) (a^(2)-ab) (8) (a+b+c)^(2)=a^(2)+b^(2)+c^(2)+2ab+2bc+2ca=a^(2)+b^(2)+c^(2)+2abc((1)/(a)+(1)/(b)+(1)/(c)) (10) a^(3)+b^(3)+c^(3)-3abc=(a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ca) =1/2(a+b+c)[(a-b)^(2)+(b-c)^(2)+(c-a)^(2)] If a+b+c=0,thena^(3)+b^(3)+c^(3)=3abc If a,b, c are real and distinct numbers, then the value of ((a-b)^(3)+(b-c)^(3)+(c-a)^(3))/((a-b).(b-c).(c-a))is

Assertion (A) : If alpha , beta, gamma are the roots of x^3 -x-1=0 then alpha^3 + beta^3 + gamma^3 =1 Reason (R ): If a +b+c=0 then a^3 + b^3 +c^3 = 3abc

Assertion (A) : If alpha , beta, gamma are the roots of x^3 -x-1=0 then alpha^3 + beta^3 + gamma^3 =1 Reason (R ): If a +b+c=0 then a^3 + b^3 +c^3 = 3abc

If the centroid of the triangle formed with (a , b) , (b , c) and (c , a) is O(0 , 0) then a^(3) +b^(3) + c^(3)= .....

If a+b+c=0 then (a^3+b^3+c^3) is

If a+b+c=0, then a^(3)+b^(3)+c^(3) is equal to

If a+b+c=0, then a^(3)+b^(3)+c^(3) is equal to