(b^10 - a^10)/(b^2 - a^2)
10 10
a - b
---------
2 2
a - b
$$\frac{a^{10} - b^{10}}{a^{2} - b^{2}}$$
8 8 2 6 4 4 6 2
a + b + a *b + a *b + a *b
$$a^{8} + a^{6} b^{2} + a^{4} b^{4} + a^{2} b^{6} + b^{8}$$
/ 4 4 3 3 2 2\ / 4 4 2 2 3 3\
\a + b + a*b + b*a + a *b /*\a + b + a *b - a*b - b*a /
$$\left(a^{4} - a^{3} b + a^{2} b^{2} - a b^{3} + b^{4}\right) \left(a^{4} + a^{3} b + a^{2} b^{2} + a b^{3} + b^{4}\right)$$