Which one or the following is equivalent to the difference of a \( ^{2} \) and \( (n+1)^{2} \) \( \begin{array}{llll}\text { A. } 2 n+1 & \text { B. } n+1 & \text { C. } n^{2} & \text { D. } 1\end{array} \)

\( 3^{\left.3^{0}\right)} \) Dada la siguiente ecuación, encontrar el valor de \( x: \) \( (\sqrt{3})^{\left(\frac{2 x-3}{3}\right)}=\sqrt{9_{9}^{\left(\frac{3 x-2}{2}\right)}} \)

d) \( \sqrt{3}+\frac{3 \sqrt{3}}{4}-\frac{5 \sqrt{3}}{3}= \)

considère les matrices suivantes de \( \mathcal{M}_{3}(\mathrm{R}): \mathrm{M}=\left(\begin{array}{lll}0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0\end{array}\right) \) et \( \mathrm{J}=\mathrm{M}+\mathrm{I}_{3} \). Calculer \( J^{2}, J^{3} \) (On admettra dans la suite que \( \left.\forall k \in \mathrm{~N}^{*}, J^{k}=3^{k-1} J\right) \) En remarquant que \( \mathrm{M}=\mathrm{J}-\mathrm{I}_{3} \), démontrer que, pour tout \( \mathrm{n} \in \mathrm{N}, \mathrm{M}^{\mathrm{n}}=(-1)^{\mathrm{n}} \mathrm{I}_{3}+\frac{1}{3}\left(2^{\mathrm{n}}-(-1)^{\mathrm{n}}\right) \mathrm{J} \).

Oppgave \( 9(1+1+2+2 \) poe Los likningene. a) \( \quad x-10=10 \)

a) \( 4 x+y=2 \) b) \( 4 x+2 x-2 y=3+1 \)