\( \begin{array}{l} \text { XI) } \text { Resolver las siguientes ecuaciones } \\ 1+x-8-7 x=1-2 x \quad 2(x-3)-3(2 x-5)=1 \quad 5 x^{2}-7=13 \\ \text { XII) } \quad \text { Hallar el conjunto solución de las siguientes inecuaciones } \\ -3 x+7+x \leq 2 x-13 \quad 6-4(x-2)-x<2-3(4-x)\end{array} \)

8. Factorise each of the following expressions. (a) \( x(x-5)+6 \) (b) \( x^{2}+3(x-6) \) (c) \( (x-3)^{2}+12 x \) (d) \( (x+3)(x-4)-8 \) (e) \( (3 x-4)(2 x-5)+8(2 x-5) \) (f) \( (3 x-4)^{2}-(2 x+1)^{2} \)

a) \( \begin{aligned} 4 y+20 & =40 \\ 7 z-15 & =55\end{aligned} \)

5. Factorise each of the following expressions by splitting the middle term. \( \begin{array}{ll}\text { (a) } x^{2}+3 x+2 & \text { (b) } x^{2}+5 x+6 \\ \text { (c) } y^{2}-7 y+10 & \text { (d) } y^{2}-8 y-9 \\ \text { (e) } z^{2}+2 z-3 & \text { (f) } z^{2}+14 z-15\end{array} \)

11. \( y-7=-10 \)

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