Question

Factories x^12 - y^12​

Answer 1

Answer:

Step-by-step explanation:

Based on the identities:

a^2-b^2=(a+b)(a-b)

a^3-b^3=(a-b)(a^2+a+^2)

$x^{12}-y^{12}  \\= (x^{6}-y^{6})(x^{6}+y^{6})\\=(x^{3}-y^{3})(x^{3}+y^{3}) (x^{6}+y^{6})\\=(x-y)(x^{2} +xy+y^{2} )(x^{3}+y^{3}) (x^{6}+y^{6})$

Answer 2

x^12-y^12 can be written as (x^6)²-(y^6)².

then, by using identity (a²-b²) =(a+b)(a-b)

so, (x^6-y^6)(x^6+y^6)

Hope this helps you in solving that particular problem ...