Aňlatmalary ýönekeýleşdiriň: \( (1-2 a)^{2}-\left(a^{2}-2\right)(2-a)+4 a^{3}(3 a-1) \)

\( 1<\quad \begin{array}{r}\text { Determine whether the ordered pair }(4,5) \text { is a solution of the system. } \\ \begin{array}{r}3 x+2 y=2 \\ 2 x+y=3\end{array}\end{array} \)

\( 1 \leftarrow \quad \begin{array}{r}\text { Solve the system of equations by the substitution method. } \\ \begin{aligned} x+y & =-2 \\ y & =-2 x\end{aligned}\end{array} \)

What is the value of one third the determinant of \( \left[\begin{array}{cccc}2 & 3 & 0 & 11 \\ 3 & 5 & -1 & 10 \\ 0 & -6 & 2 & 4 \\ 2 & 4 & 7 & -5\end{array}\right] \) ?

O Functions and Lines Evaluating functions: Linear and quadratic or cubic The functions \( f \) and \( g \) are defined as follows. \[ f(x)=-2 x^{2}-3 \quad g(x)=3 x-1 \] Find \( f(5) \) and \( g(-2) \). Simplify your answers as much as possible. \[ f(5)=\square \] \( g(-2)=\square \)

The cost price of a pen is Rs \( (3 x+5) \) and is selling price is \( \operatorname{Rs}(4 x+3) \) Write the formulato find protit.