جد ناتج القسمة لكل مما يأتي إذ إن المقام لا يساوي صفراً:

$\frac{6x^5{y}^4+6x^3{y}^2}{9x^3{y}^2}$

$\frac{2}{3}{x}^2{y}^2+\frac{2}{3}$

تدرب وحل التمرينات

جد ناتج القسمة لكل مما يأتي إذ إن المقام لا يساوي صفراً:

$\frac{12b^5}{4b^2}$

$3b^3$

$\frac{-32m^5{n}^2}{-8m^3{n}^4}$

$4\frac{{\mathrm{m}}^2}{{\mathrm{n}}^2}$

$\frac{12x^4{y}^2}{-2y{x}^2}$

$-6x^{2}y$

$\frac{81x^7{y}^8{z}^6}{27x^7{y}^7{z}^3}$

$3{\mathrm{yz}}^3$

$\frac{36m^5{n}^5}{3m^6{n}^3}$

$\frac{12n^2}{m}$

$\frac{9r^2{v}^2}{6r^3{v}^4}$

$\frac{3}{2r{v}^2}$

$\frac{49r^2{v}^2}{7rv}$

$7r\mathrm{V}$

$\frac{\sqrt{36}{\mathrm{h}}^3{\mathrm{k}}^5}{6\mathrm{h}}$

$h^2{k}^4$

$\frac{8y^3{w}^2}{-12yw}$

$\frac{2y^{2}w}{-3}$

$\frac{-r^4{v}^3-4r^6{v}^5}{3r^3{v}^5}$

$\frac{-r}{3v^2}-\frac{4r^3}{3}$

$\frac{6w^5{z}^2+9w^2{z}^2}{3w^5{z}^3}$

$\frac{2}{z}+\frac{3}{w^{3}z}$

$\frac{15h^8{k}^4+9h^3{k}^4}{3h^3{k}^2}$

$5h^5{k}^2+3k^2$

$\frac{13a^9{b}^6{c}^5-52a^7{b}^4{c}^6}{13a^5{b}^3{c}^2}$

$a^4{b}^3{c}^3-4a^2{b}^2{c}^3$

$\frac{8x^5}{12x^{-4}}$

$\frac{2}{3}{x}^9$

$\frac{6x^5{y}^4+6x^3{y}^2}{9x^3{y}^2}$

$\frac{2}{3}{x}^2{y}^2+\frac{2}{3}$

$\frac{\sqrt{36}{\mathrm{m}}^6+\sqrt[3]{27}{\mathrm{m}}^3+8{\mathrm{m}}^2}{4{\mathrm{m}}^{-2}}$

$\frac{3}{2}{m}^8+\frac{3}{4}{m}^5+2m^4$

$\frac{72n^7-63n^6-54n^5}{9n^5}$

$8n^2-7n-6$

$\frac{21y^2-15y+12y^3}{3y^2}$

$7-\frac{5}{y}+4y$

$\frac{48z^4+16z^3+8z^2}{4z^2}$

$12z^2+4z+2$

$\frac{12m^5{n}^4+9m^4{n}^2+12m^2{n}^2}{3m^2{n}^2}$

$4m^3{n}^2+3m^2+4$

$\frac{\frac{1}{5}{r}^3{b}^4+\frac{1}{15}{r}^2{b}^2-\frac{1}{25}rb}{\frac{1}{25}rb}$

$5r^2{b}^3+\frac{5}{3}rb-1$