Question 370424
{{{a^6}}}{{{""-""}}}{{{b^6}}}
<pre>
First factor as the difference of two squares by considering it as

{{{red((a^3))^2}}}{{{""-""}}}{{{red((b^3))^2}}}

That gives:

{{{(a^3-b^3)(a^3+b^3)}}}

Now factor the first parenthetical expression as the difference of
two cubes and the second parenthetical expression as the sum of two
cubes:

{{{(a-b)(a^2+ab+b^2)(a+b)(a^2-ab+b^2)}}}

Edwin</pre>