Q.24) Simplify the expression: \( 2(a-b)^{2}+3\left(a^{2}-b^{2}\right)-\left(a^{2}-2 a b+b^{2}\right) \) and find its valu when \( a=-1 \) and \( b=2 \).

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

\begin{tabular}{c}\hline SOLVING EQUATIONS \\ \hline \( \begin{array}{c}\text { Simplify Each Side } \\ \text { by combining like terms }\end{array} \) \\ \hline \( \begin{array}{c}\text { Move Variables } \\ \text { to one side }\end{array} \) \\ \hline Solve \\ \hline Using inverse operations \\ \hline\end{tabular}

What significa el exponente en una expresión matemática?

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. \( \begin{array}{llll}\text { A) } 2 a^{2}-4 a b & \text { B) } 8 a^{2}-2 b^{2} & \text { C) } 8 a^{2}-4 b^{2} & \text { D) } 2 a^{2}-4 b^{2}\end{array} \)

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. \( \begin{array}{llll}\text { A) } 5 & \text { B) } 13 & \text { (C) } 10 & \text { D) } 18\end{array} \)