\( \begin{array}{ll}\text { 5) } \frac{20 a^{2} b^{3}-16 a^{2} b}{4 a b} & \text { 6) } \frac{14 x^{2}-7 x+7}{7} \\ \text { 7) } \frac{10 x^{2} y^{3}-5 x^{4} y^{4}}{10 x^{2} y^{3}} & \text { 8) } \frac{2 x^{2}-x-6}{x-2}\end{array} \)

Simplifying the expressions makes math feel like a fun puzzle! For the first expression, \( \frac{20 a^{2} b^{3}-16 a^{2} b}{4 a b} \), you can factor out \( 4a^2b \) from the numerator to get \( \frac{4a^2b(5b^2 - 4)}{4ab} \), which simplifies to \( a(5b^2 - 4) \). Now, for the second one, \( \frac{14 x^{2}-7 x+7}{7} \), just divide each term by 7. This results in \( 2x^{2} - x + 1 \). Algebra can truly be fun when you see how beautifully everything simplifies down to clearer forms! Keep exploring these patterns!