(a^6-b^6)/(a^4+a^2*b^2+b^4) simplify show work
a^6-b^6 = (a^2)^3 - (b^2)^3
= (a^2-b^2)((a^2)^2+(a^2)(b^2)+(b^2)^2)
= (a-b)(a+b)(a^4+a^2b^2+b^4)
now do the division and you are left with
(a-b)(a+b) = a^2-b^2
= (a^2-b^2)((a^2)^2+(a^2)(b^2)+(b^2)^2)
= (a-b)(a+b)(a^4+a^2b^2+b^4)
now do the division and you are left with
(a-b)(a+b) = a^2-b^2