Let's simplify:-
`a^2(b^2 - c^2) + b^2 (c^2 - a^2) + c^2 (a^2 - b^2)`

Let's find G.C.D of the following algebraic expressions. a^2 - b^2 - c^2 + 2bc, b^2- c^2 - a^2 + 2ac , c^2 - a^2 - b^2 + 2ab

Let's find the G.C.D of the following expressions. a^2 + b^2 - c^2 + 2ab, c^2 + a^2 - b^2 + 2ca, b^2 + c^2 - a^2 + 2bc

Let's simplify: frac(a)(a^2 + ab) - frac(b)((a+b)^2)

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

Prove that a(b^(2) + c^(2)) cos A + b(c^(2) + a^(2)) cos B + c(a^(2) + b^(2)) cos C = 3abc

(vii) (b^(2) -c^(2)) cos 2A + (c^(2) -a^(2)) cos 2B + (a^(2) -b^(2)) cos 2C=0

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

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

Let us simplify using formula:- (a+b)(a-b) (a^2 + ab + b^2) (a^2 - ab + b^2)

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