(b^12 - a^12)/(b^2 - a^2)
12 12
a - b
---------
2 2
a - b
$$\frac{a^{12} - b^{12}}{a^{2} - b^{2}}$$
/ 2 2\ / 2 2 \ / 2 2 \ / 4 4 2 2\
\a + b /*\a + b + a*b/*\a + b - a*b/*\a + b - a *b /
$$\left(a^{2} + b^{2}\right) \left(a^{2} - a b + b^{2}\right) \left(a^{2} + a b + b^{2}\right) \left(a^{4} - a^{2} b^{2} + b^{4}\right)$$
10 10 2 8 4 6 6 4 8 2
a + b + a *b + a *b + a *b + a *b
$$a^{10} + a^{8} b^{2} + a^{6} b^{4} + a^{4} b^{6} + a^{2} b^{8} + b^{10}$$