[3-2] ضرب حد جبري في مقدار جبري

اختر الإجابة الصحيحة لكل مما يأتي:

جد ناتج الضرب لكل مما يأتي:

$\begin{array}{rl}& \left(5m^2{n}^2\right)\left(12m^{5}n\right)\end{array}$

• $60m^3{n}^3$
• $72m^7{n}^2$
• $\begin{array}{rl}& \mathbf{60}{\mathbf{m}}^{\mathbf{7}}{\mathbf{n}}^{\mathbf{3}}\end{array}$
• $60{\mathrm{m}}^7\mathrm{n}$

$\begin{array}{rl}& (-25x^2{y}^{2}z)\left(4xy\right)\end{array}$

• $\mathbf{-}\mathbf{100}{\mathit{x}}^{\mathbf{3}}{\mathit{y}}^{\mathbf{3}}$
• $100x^3{y}^{3}z$
• $\begin{array}{rl}& 100x^2{y}^{2}z\end{array}$
• $-100x^3{y}^{3}z$

$\begin{array}{rl}& \left(\frac{7}{2}{z}^2{w}^2\right)\left(\frac{3}{9}z{w}^3\right)\end{array}$

• $\frac{21}{18}{z}^2{w}^6$
• $\frac{21}{18}{\mathrm{z}}^3{\mathrm{w}}^5$
• $\frac{\mathbf{7}}{\mathbf{6}}{\mathit{z}}^{\mathbf{3}}{\mathit{w}}^{\mathbf{6}}$
• $\frac{7}{6}{\mathrm{z}}^2{\mathrm{w}}^5$

$\begin{array}{rl}& \left(\sqrt{5}{h}^2{k}^2\right)(\left(\sqrt{5}{h}^2{k}^3\right)\end{array}$

• $5{\mathrm{h}}^4{\mathrm{k}}^5$
• $5{\mathrm{k}}^5$
• $\mathbf{5}\mathbf{k}$
• $5{\mathrm{k}}^6$

$\begin{array}{rl}& \left(\right|-3\left|g^{3}h\right)(\left(\right|4\left|g^4{h}^2\right)\end{array}$

• $-12\mathrm{gh}$
• $-12{\mathrm{g}}^7{\mathrm{h}}^2$
• $\mathbf{12}{\mathbf{g}}^{\mathbf{7}}{\mathbf{h}}^{\mathbf{3}}$
• $12{\mathrm{g}}^7\mathrm{h}$

$\begin{array}{rl}& 5x^{2}y(4x^3+3x+4)\end{array}$

• $\begin{array}{rl}& \mathbf{20}{\mathbf{x}}^{\mathbf{5}}\mathbf{y}\mathbf{+}\mathbf{15}{\mathbf{x}}^{\mathbf{3}}\mathbf{y}\mathbf{+}\mathbf{20}{\mathbf{x}}^{\mathbf{2}}\mathbf{y}\end{array}$
• $\begin{array}{rl}& 20x^5+15x^3+4\end{array}$
• $\begin{array}{rl}& 20x^{5}y+8x^{3}y+4\end{array}$
• $\begin{array}{rl}& 9x^{5}y+8x^3+4\end{array}$

$\begin{array}{rl}& \frac{1}{2}{m}^2{n}^2(4mn+8)\end{array}$

• $\begin{array}{rl}& 4m^3{n}^3+16mn\end{array}$
• $2m^3{n}^3+4$
• $\begin{array}{rl}& 4mn+4m^2{n}^2\end{array}$
• $\mathbf{4}{\mathit{m}}^{\mathbf{3}}{\mathit{n}}^{\mathbf{3}}\mathbf{+}\mathbf{4}{\mathit{m}}^{\mathbf{2}}{\mathit{n}}^{\mathbf{2}}$

$\begin{array}{rl}& 6y^2(3y^2-5x+3)\end{array}$

• $\begin{array}{rl}& \mathbf{18}{\mathbf{y}}^{\mathbf{4}}\mathbf{-}\mathbf{30}{\mathbf{y}}^{\mathbf{2}}\mathbf{x}\mathbf{+}\mathbf{18}{\mathbf{y}}^{\mathbf{2}}\end{array}$
• $\begin{array}{rl}& 9y^4-11y^{2}x+9y^2\end{array}$
• $\begin{array}{rl}& 18y^2-30yx+9y^2\end{array}$
• $\begin{array}{rl}& 3y^4-y^{2}x+18y^2\end{array}$

$(-12g^2{h}^2)(-g^3{h}^2-4gh-8)$

• $\begin{array}{rl}& 12g^2{h}^4-48g^3{h}^3+20g^2{h}^2\end{array}$
• $\begin{array}{rl}& -12g^5{h}^4-8g^2{h}^2-960g^2{h}^2\end{array}$
• $\begin{array}{rl}& \mathbf{12}{\mathbf{g}}^{\mathbf{5}}{\mathbf{h}}^{\mathbf{4}}\mathbf{+}\mathbf{48}{\mathbf{g}}^{\mathbf{3}}{\mathbf{h}}^{\mathbf{3}}\mathbf{+}\mathbf{96}{\mathbf{g}}^{\mathbf{2}}{\mathbf{h}}^{\mathbf{2}}\end{array}$
• $\begin{array}{rl}& -12g{h}^4-48g^3{h}^3+96g^2{h}^2\end{array}$