6. Factorise each of the following expressions. \( \begin{array}{ll}\text { (a) } 2 x^{2}+3 x+1 & \text { (b) } 2 x^{2}+7 x+5 \\ \text { (c) } 3 y^{2}-5 y+2 & \text { (d) } 3 y^{2}-11 y+10 \\ \text { (e) } 4 m^{2}-4 m+1 & \text { (f) } 4 m^{2}+4 m-3\end{array} \)

2. Solve for \( x \) in the equation : \( ^{\log _{3}(5 x+2)-} \) \( \log _{3}(x-2)=2 \)

What is the solution of \( \frac{2-x}{3}>1 \) ?

\( \frac{x}{a-b+c}=\frac{y}{b-c+a}=\frac{z}{c-a+b} \) Demons trates That \( \frac{x+y}{a}=\frac{y+z}{b} \)

Simplify the following. a \( \quad 4 n \times 6 n \)

Варнант 3 1. Выполните действия \( \begin{array}{ll}\frac{2 x+8}{6 x-12}+\frac{6-2 x}{4 x-8} & \frac{2 x+8}{4 x-12}-\frac{2 x-2}{x-3} \\ \frac{52 x^{9}}{102 y^{7}} \cdot \frac{68 y^{5}}{78 x^{6}} & \frac{64 a^{7}}{45 y^{10}}: \frac{6 a^{5}}{135 y^{6}}\end{array} \)