3) Simplify \( \frac{3 a}{4 a^{2}+6} \times \frac{10 a^{2}+15}{a^{2}-5 a+6} \times \frac{3 a^{2}-9 a}{a^{2}-8 a} \). State the restrictions on the variables.

Graph the inequality in the coordinate plane. \[ y>4 \]

b) Let \( S=\left\{v_{1}, v_{2}, v_{3}\right\} \) be a linearly independent set of the vectors in \( \mathbb{R}^{n} \) and \( T=1 \) \( \left\{u_{1}, u_{2}, u_{3}\right\} \). Prove that \( T \) is linearly independent set. where \( u_{1}=v_{1}+v_{2}+v_{3}, u_{2}=v_{2}+v_{3} \), and \( u_{3}=v_{3} \).

5. Given that \( p=\frac{1+\sqrt{5}}{2} \). show that \( \frac{1}{p}=p-1 \). Show yo

d) \( 5 a x+6 a x= \)

e) \( 2 x^{2}+20 y^{3}-15 y^{3}-36 x^{2} \)