[" Factories: "],[(2a-b-c)^(3)+(2b-c-a)^(3)+(2c-a-b)^(3)]

.Factorise: (2a-b-c)^(3)+(2b-c-a)^(3)+(2c-a-b)^(3)

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

Factorise : a^(2)(b+c)+b^(2)(c+a)+c^(2)(a+b)+a^(3)+b^(3)+c^(3)

The expression (a-b)^3+\ (b-c)^3+\ (c-a)^3 can be factorized as (a) (a-b)(b-c)(c-a) (b) 3(a-b)(b-c)(c-a) (c) -3\ (a-b)(b-c)(c-a) (d) (a+b+c)(a^2+b^2+c^2-a b-b c-c a)

The expression (a-b)^(3)+(b-c)^(3)+(c-a)^(3) can be factorized as (a)(a-b)(b-c)(c-a)(b)3(a-b)(b-c)(c-a)(c)-3(a-b)(b-c)(c-a)(d)(a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ca)

Prove that a^3-(2a-b-c)^3+(b-2c)^3-(2b-c-a)^3=3(b+c-a)(a+b-2c)(2a-2b-c)

Prove that (a-2b)^3+(2b-c)^3+(c-a)^3 =3(a-2b)(2b-c)(c-a)

Prove that ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))=(a+b)(b+c)(c+a)

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