$\text{a)}10a^{2}b-14a{b}^2=2a\left(5ab-7b^2\right)$  

---

$\text{b)}72a^3{b}^2+18a^2{b}^2=6ab\left(12a^{2}b+3ab\right)$  

---

$\text{c)}90a^2{b}^{2}c+30a{b}^{2}c=abc\left(90ab+30b\right)$  

---

$\text{d)}180p^2{q}^2-90prq+135=45\left(4p^2{q}^2-2prq+3\right)$