Fractorise `a ^(3) - 8b ^(3) - 64 c^(3) - 24 abc`

Factorise : x^(3) + 8y^(3) + 64z^(3) - 24 xyz

Fractorise 27a ^(3) + b ^(3) + 8c^(3) -18 abc using identity.

Factorise : a^(3) + 27b^(3) + 64c^(3) - 36abc

Factorise : 125x^(3) - 64y^(3)

Factorise : 64x^(3) + 125y^(3)

Fractorise 4a ^(2) + b ^(2) + c ^(2) -4ab + 2bc-4ca using suitable identity.

Faactorise (i) 27a ^(3) + 64 b ^(3) (ii) 343 y ^(3) -1000 using the above results.

Factorise : (1)/(8)a^(3) + (1)/(125)b^(3)

(a) If x + y + z=0, show that x ^(3) + y ^(3) + z ^(3)= 3 xyz. (b) Show that (a-b) ^(3) + (b-c) ^(3) + (c-a)^(3) =3 (a-b) (b-c) (c-a)