" (iii) "a^(3)+c^(3)+6abc=8b^(3)

If a,b,c are in A.P,show that (i)a^(3)+b^(3)+6abc=8b^(3)( ii) (a+2b-c)(2b+c-a)(a+c-b)=4abc

If a,b,c are in A.P.,prove that: (a-c)^(2)=4(a-b)(b-c)a^(2)+c^(2)+4ac=2(ab+bc+ca)a^(3)+c^(3)+6abc=8b^(3)

Factorise (i) a^(3)+8b^(3)+64c^(3)-24abc (ii) 2sqrt(2)a^(3)+8b^(3)-27c^(3)+18sqrt(2)abc

Factorise (i) a^(3)+8b^(3)+64c^(3)-24abc

Factorise : 12abc -6a^(2) b^(2) c^(2) + 3a^(3) b^(3) c^(3)

If a^(3)+b^(3)+6abc=8c^(3)& omega is a cube root of unity then: a,b,c are in Adot P*( b) a,b,c, are in Hdot P*a+b omega-2c omega^(2)=0a+b omega^(2)-2c omega=0

If a+b=c , show that a^(3)+b^(3)+3abc=c^(3)

If a + 2b + c= 0 , then show that: a^(3) + 8b^(3) + c^(3)= 6abc

If a, b, c are in A.P, show that (i)a^3+b^3+6abc=8b^3 (ii) (a+2b-c)(2b+c-a)(a+c-b) =4abc