On pose \( A=\left\{n \in N / \frac{4 n^{2}-4 n+10}{2 n-1} \in \mathbb{Z}\right\} \) et \( B=\left\{n \in N / \frac{n+10}{n-5} \in Z\right\} \) 1) Montrer que \( \forall n \in N /(5): \frac{n+10}{n-5}=1+\frac{15}{n-5} \) 2) Montrer que : \( (\forall n \in \mathbb{N}) ; \frac{4 n^{2}-4 n+10}{2 n-1}=2 n-1+\frac{9}{2 n-1} \) 3) Déterminer en extension \( A ; B \) et \( A \triangle B \)

Use the Factor Theorem to determine whether \( x-2 \) is a factor of \( P(x)=x^{3}-3 x^{2}-4 x+ \) Specifically, evaluate \( P \) at the proper value, and then determine whether \( x-2 \) is a factor. \( \begin{array}{l}P(\square)=\square \\ x-2 \text { is a factor of } P(x) \\ x-2 \text { is not a factor of } P(x)\end{array} \)

\( \begin{array}{l}\text { Ecuaciones Hultipicat } \\ \frac{9 x+3}{6}\end{array}=2 \)

iraficar la siguiente \( y=x^{2}+4 x-5 \)

Faktoriseer in Afrikaans \( 4(m-2 n)^{2}-25 \)

Simplify the expression. Assume that the variable is unrestricted and use absolute value symbols when necessary. \[ \sqrt{y^{2}-2 y+1} \]