3. The solution of the equation \( \left|x^{2}+1\right|\left(x^{2}+x+1\right)=0 \) is ( )

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 \( h(x) \geq 1 \).

6. \( A=5 a^{2}-2 a b-3 b^{2}, B=3 a^{2}+2 a b+b^{2} \) olarsa, \( A-(B-2 A-(2 B-2 A))- \) nitapin. \( \begin{array}{llll}\text { A) } 2 a^{2}-4 a b & \text { B) } 8 a^{2}-2 b^{2} & \text { C) } 8 a^{2}-4 b^{2} & \text { D) } 2 a^{2}-4 b^{2}\end{array} \)

What significa el exponente en una expresión matemática?

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