جد القيمة العددية للمقادير الجبرية الآتية:

$\begin{array}{rl}& {\mathrm{m}}^2+m-3n^2+4,m=3,n=2\end{array}$

$\begin{array}{rl}& (3{)}^2+3-3(2{)}^2+4\\ & =9+3-3\left(4\right)+4\\ & =9+3-12+4=4\end{array}$

تأكد من فهمك

جد القيمة العددية للمقادير الجبرية الآتية:

$\begin{array}{rl}& {\mathrm{m}}^2+m-3n^2+4,m=3,n=2\end{array}$

$\begin{array}{rl}& (3{)}^2+3-3(2{)}^2+4\\ & =9+3-3\left(4\right)+4\\ & =9+3-12+4=4\end{array}$

$\begin{array}{rl}& 5x^2+7y^2+4x-2,x=4,y=5\end{array}$

$\begin{array}{rl}& 5(4{)}^2+7(5{)}^2+4\left(4\right)-2\\ & =5\left(16\right)+7\left(25\right)+16-2\\ & =80+225+16-2=319\end{array}$

$\begin{array}{rl}& \mathrm{W}+{\mathrm{W}}^2-\mathrm{Z}+{\mathrm{Z}}^2,\mathrm{W}=1,\mathrm{Z}=-2\end{array}$

$\begin{array}{rl}& \left(1\right)+(1{)}^2-(-2)+(-2{)}^2\\ & =1+1+2+4=8\end{array}$

$\begin{array}{rl}& 5{\mathrm{h}}^2+12\mathrm{K},\mathrm{h}=-2,\mathrm{k}=-1\end{array}$

$\begin{array}{rl}& 5(-2{)}^2+12(-1)\\ & =5\left(4\right)-12=20-12=8\end{array}$

$\begin{array}{rl}& 4+5a+15b,a=2,b=2\end{array}$

$\begin{array}{rl}& 4+5\left(2\right)+15\left(2\right)\\ & =4+10+30=44\end{array}$

$\begin{array}{rl}& 8w-7z+12,w=3,z=3\end{array}$

$8\left(3\right)-7\left(3\right)+12=24-21+12=15$

جد محيط الشكل الهندسي إذا علمت أن قيمة 3=x=5 , y=1 , m

$$\begin{gathered} P=(x+m)+(x+m)+(2x+y)+(2x+3y) \\ \begin{array}{rl}& =6X+2M+4y=6\left(5\right)+2\left(3\right)+4\left(1\right)\\ & =30+6+4=40\end{array} \end{gathered}$$