Simplify
`a^2(b^2-c^2) + b^2(c^2-a^2) + c^2(a^2-b^2)`

Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a)^3)

Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a)^3)

Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a)^3)

Simplify: ((a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3)/((a-b)^3+(b-c)^3+(c-a)^3)

In triangle A B C ,2a csin(1/2(A-B+C)) is equal to a^2+b^2-c^2 (b) c^2+a^2-b^2 b^2-c^2-a^2 (d) c^2-a^2-b^2

Simplify: (a+b+c)^2-(a-b-c)^2

Simplify: (a+b+c)^2+\ (a-b-c)^2

In any A B C , the value of 2a csin((A-B+C)/2) is (a) a^2+b^2-c^2 (b) c^2+a^2-b^2 (c) b^2-c^2-a^2 (d) c^2-a^2-b^2

In triangle A B C ,2a csin(1/2(A-B+C)) is equal to (a) a^2+b^2-c^2 (b) c^2+a^2-b^2 (c) b^2-c^2-a^2 (d) c^2-a^2-b^2

If a ,b ,c in R^+ , then the minimum value of a(b^2+c^2)+b(c^2+a^2)+c(a^2+b^2) is equal to (a) a b c (b) 2a b c (c) 3a b c (d) 6a b c