1) $$6a - 15b = 3(2a - 5b)$$
2) $$2a + ab = a(2+b)$$
3) $$7am + 7bn = 7(am + bn)$$
4) $$4x^2 - 12xy = 4x(x - 3y)$$
5) $$a^6 + a^2 = a^2(a^4 + 1)$$
6) $$12m^2n - 4mn = 4mn(3m - 1)$$
7) $$2x^2 - 4x^3 + 10x^4 = 2x^2(1 - 2x + 5x^2)$$
8) $$10a^3b^2 - 15a^2b + 25ab^2 = 5ab(2a^2b - 3a + 5b)$$