`(a+b)^3-(a-b)^3`

Resolve into factors : (a+c)^3-(b+c)^3-(a-b)^3

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

Simplify : (a+b)^3-1^3-b^3

If sin^4 A/a+cos^4 A/b=1/(a+b) , then the value of sin^8 A/a^3+cos^8 A/b^3 is equal to (A) 1/(a+b)^3 (B) (a^3b^3)/(a+b)^3 (C) (a^2b^2)/(a+b)^2 (D) none of these

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

Factorize: a^3(b-c)^3+b^3(c-a)^3+c^3(a-b)^3

Prove that (b+c-a)^3+(c+a-b)^3+(a+b-c)^3-(a+b+c)^3+108abc = 84abc

Show that (1-a)^(3)+(b-1)^(3)+(a-b)^(3)=3(1-a)(b-1)(a-b)