e length of a rectangle is 6 cm more than the breadth. If the perimeter of t tangle is 80 cm , find the length and the breadth of the rectangle.

12. \( a^{2 n+1}+a^{2} b^{n+1}-b^{2 n-1}-a^{n+2} b \) ifadesinin vuruqlanndan biri aşagıdaklardan hansidn \( \begin{array}{llll}\text { A) } a^{2 n-1}+b^{n+1} & \text { B) } a^{n} & \text { C) } a^{2}+b & \text { D) } a^{2 n-1}-b\end{array} \)

1. \( \left(2 \frac{1}{4} x^{6} y^{2}\right) \cdot\left(-\frac{2}{3} x y^{3}\right)^{2} \cdot\left(3 x^{5} y^{2}\right)^{3} \) birhadlisininquavatila amsali farqinitapin. \( \begin{array}{llll}\text { A) } 5 & \text { B) } 13 & \text { (C) } 10 & \text { D) } 18\end{array} \)

3. Soit \( g(x)=x^{4}-5 x^{2}+4 \). a) Factoriser \( t^{2}-5 t+4 \) b) En-déduire que \( g(x)=\left(x^{2}-1\right)\left(x^{2}-4\right) \). 4. Soit \( h(x)=\frac{f(x)}{g(x)} \) a) Déterminer l'ensemble de définition \( D \) de \( h \). b) Montrer que pour tout \( x \) de \( D h(x)=\frac{x-3}{x^{2}+3 x+2} \) c) Résoudre dans \( \mathbb{R} \) l'inéquations \( h(x) \geq 1 \).

b. \( \frac{1}{3} \times(\sqrt{5}-\sqrt{2}) \times(\sqrt{5}+\sqrt{2}) \)

\[ \mathrm{x}+\mathrm{y}=6 \text {, } \] It is known that the solutions are integers. \( \mathrm{x}^{y}=\mathrm{y}^{\mathrm{x}} \) \( \quad \) a. \( \{(1,5),(5,1)\} \) b. \( \{(5,5),(-10,16),(16,-10)\} \) c. \( \{(3,3),(4,2),(2,4)\} \) d. \( \{ \) all integers divisible by 3 and 2\( \} \) e. None of the above