حل أسئلة مراجعة تراكمية

بسط كل عبارة مما يأتي:

45)

$\begin{array}{r}4a(2a-3)+3a(5a-4)\\ 8a^2-12a+15a^2-12a=\\ 23a^2-24a=\end{array}$

46)

$\begin{array}{r}(xy{)}^2{\left(2x{y}^{2}z\right)}^3\\ \left(x^2{y}^2\right)\left(8x^3{y}^6{z}^3\right)=\\ 8x^5{y}^8{z}^3=\end{array}$

47)

$\begin{array}{c}{\left(3a{b}^2\right)}^{-2}{\left(2a^{2}b\right)}^2\\ \frac{{\left(2a^{2}b\right)}^2}{{\left(3a{b}^2\right)}^2}=\frac{4a^4{b}^2}{9a^2{b}^4}\\ \frac{4a^2}{9b^2}=\end{array}$

إذا كان $h\left(x\right)=-2x^2-2x+4,f\left(x\right)=4x+3$ فأوجد قيمة كل مما يأتي.

48)

$\begin{array}{r}f\left(x\right)=4x+3\\ f(-6)=4(-6)+3=-24+3=-21\end{array}$

49)

$\begin{array}{rl}& h\left(x\right)=-2x^2-2x+4\\ & h\left(3\right)=-2(3{)}^2-2(3)+4\\ & h\left(3\right)=-18-6+4=-20\end{array}$

50)

$\begin{array}{c}f\left(x\right)=4x+3\\ f\left(c\right)=4c+3\end{array}$