Question

(x⁴-y⁴)³+(y⁴-z⁴)³+(z⁴-x⁴)³ solve using identity

Answer 1

Answer:

Step-by-step explanation: (x^4-y^4)^3+(y^4-z^4)^3+(z^4-x^4)^3 can be written as a^3+b^3+c^3

Now, a+b+c = 0 as x4-y4+y4-z4+z4-x4 = 0

So, when a+b+c=0 then a3+b3+c3=3abc

Therefore, (x^4-y^4)^3+(y^4-z^4)^3+(z^4-x^4)^3 = (x4-y4)(y4-z4)(z4-x4).

Now, solve it and u will get the answer..