Question 330529
{{{((a^4-b^4)/(a^4+b^4))*((a^8-b^8)/(a^6+b^6))}}}
= {{{((a^4-b^4)/(a^4+b^4))*((a^4+b^4)(a^4-b^4)/(a^6+b^6))}}}
Cancel (a^4+b^4)
= {{{((a^4-b^4)/(1))*((a^4-b^4)/(a^6+b^6))}}}
= {{{((a^4-b^4)(a^4-b^4))/(a^6+b^6)}}}
= {{{((a^2-b^2)(a^2+b^2)(a^4-b^4))/((a^2+b^2)(a^4-a^2b^2+b^4))}}}
Cancel (a^2+b^2)
= {{{((a^2-b^2)(a^4-b^4))/(a^4-a^2b^2+b^4)}}}
or
= {{{(a^6 -a^4b^2 -a^2b^4 + b^6)/(a^4-a^2b^2+b^4)}}}