Question

x ki power 12 -y ki power 12

Answer 1

Answer:

$\bold{(x^6+y^6)(x^3-y^3)(x^3+y^3)}$

Step-by-step explanation:

$x^{12} - y^{12}\\\\= (x^6)^2 - (y^6)^2\\\\\text{Using a^2 - b^2 = (a+b)(a-b), }\\\\= (x^6+y^6)(x^6-y^6)\\\\= (x^6+y^6)((x^3)^2-(y^3)^2)\\\\\text{Again Using a^2 - b^2 = (a+b)(a-b), }\\\\= \bold{(x^6+y^6)(x^3-y^3)(x^3+y^3)}$