Question

a^3(b-c)^3+ b^3 (c-a)^3+ c^3 (a-b)^3​

Answer 1

Answer:

a^3(b-c)^3 = (ab-ac)^3

Similarly,

b^3(c-a)^3 = (bc-ab)^3

c^3(a-b)^3 = (ac-bc)^3

There is a formula in Algebra:

x^3 + y^3 + z^3 = 3xyz if (x+y+z) = 0

here x= ab-ac

y= bc-ab

z= ac-ab

and, we can see that x+y+z = 0

hence the solution is 3xyz = 3abc(a-b)(b-c)(c-a)

Step-by-step explanation: