If `a^(4) + b^(4) + c^(4) + a^(2)b^(2) = 2c^(2)(a^(2) + b^(2))` then show that, `C=60^(@)` or `120^(@)`

(i) If in a triangle ABC, a^(4) + b^(4) +c^(4) - 2b^(2) c^(2) -2c^(2)a^(2)=0 , then show that, C=45^(@) or 135^(@) . (ii) In in a triangle ABC, sin^(4)A + sin^(4)B + sin^(4)C = sin^(2)B sin^(2)C + 2sin^(2) C sin^(2)A + 2sin^(2)A sin^(2)B , show that, one of the angles of the triangle is 30^(@) or 150^(@)

If a^4+b^4+c^4+a^2b^2=2c^2(a^2+b^2) ,, then show that angleC=60^@or120^@

In a Delta ABC, a ^(4)+b^(4) + c^(4) = 2b^(2)c^(2)+2a^(2)b^(2), " then B"=

If a + b + c = 0 , prove that a^(4) + b^(4) + c^(4) = 2(b^(2)c^(2)+c^(2)a^(2)+a^(2)b^(2)) = 1//2 (a^(2) + b^(2) + c^(2))^(2)

In /_ABC, if c^(4)-2(a^(2)+b^(2))c^(2)+a^(4)+a^(2)b^(2)+b^(4)=0 then

In triangle ABC if a^(4) + b^(4) + c^(4) = 2a^(2)b^(2) + 2b^(2)c^(2) then the values of B will be-

Factorise : a^(4)(b^(2)-c^(2))+b^(4)(c^(2)-a^(2))+c^(4)(a^(2)-b^(2))