8.11 Exercise supplement

$\frac{9}{x+4}$

$\frac{10x}{x+6}$

$\frac{x+1}{2x-5}$

$\frac{2a+3}{7a+5}$

$\frac{3m}{2m\left(m-1\right)}$

$\frac{5r+6}{9r\left(2r+1\right)}$

$\frac{s}{s\left(s+8\right)\left(4s+7\right)}$

$\frac{-11x}{x^2-9x+18}$

$\frac{-y+5}{12y^2+28y-5}$

$\frac{16}{12a^3+21a^2-6a}$

$\frac{-4}{5},-\frac{4}{5}$

$\frac{-3}{8},-\frac{3}{8}$

$\frac{-7}{10},-\frac{7}{10}$

$-\frac{3}{y-5}=\frac{}{y-5}$

$-\frac{6a}{2a+1}=\frac{}{2a+1}$

$-\frac{x+1}{x-3}=\frac{}{x-3}$

$-\frac{9}{-a+4}=\frac{}{a-4}$

$\frac{y+3}{-y-5}=\frac{}{y+5}$

$\frac{-6m-7}{-5m-1}=\frac{6m+7}{}$

$-\frac{2r-5}{7r+1}=\frac{2r-5}{}$

$\frac{12}{6x+24}$

$\frac{16}{4y-16}$

$\frac{5m+25}{10m^2+15m}$

$\frac{7+21r}{7r^2+28r}$

$\frac{3a^2+4a}{5a^3+6a^2}$

$\frac{4x-4}{x^2+2x-3}$

$\frac{5y+20}{y^2-16}$

$\frac{4y^3-12}{y^4-2y^2-3}$

$\frac{6a^9-12a^7}{2a^7-14a^5}$

$\frac{8x^4{y}^8+24x^3{y}^9}{4x^2{y}^5-12x^3{y}^6}$

$\frac{21y^8{z}^{10}{w}^2}{-7y^7{w}^2}$

$\frac{-35a^5{b}^2{c}^4{d}^8}{-5ab{c}^3{d}^6}$

$\frac{x^2+9x+18}{x^3+3x^2}$

$\frac{a^2-12a+35}{2a^4-14a^3}$

$\frac{y^2-7y+12}{y^2-4y+3}$

$\frac{m^2-6m-16}{m^2-9m-22}$

$\frac{12r^2-7r-10}{4r^2-13r+10}$

$\frac{14a^2-5a-1}{6a^2+9a-6}$

$\frac{4a^4-8a^3}{4a^2}$

$\frac{5m^2}{10m^3+5m^2}$

$\frac{-6a-1}{-5a-2}$

$\frac{-r}{-5r-1}$

$\frac{x^2}{18}·\frac{3}{x^3}$

$\frac{4a^2{b}^3}{15x^4{y}^5}·\frac{10x^6{y}^3}{a{b}^2}$

$\frac{x+6}{x-1}·\frac{x+7}{x+6}$

$\frac{8a-12}{3a+3}÷\frac{{\left(a+1\right)}^2}{4a-6}$

$\frac{10m^4-5m^2}{4r^7+20r^3}÷\frac{m}{16r^8+80r^4}$

$\frac{5}{r+7}-\frac{3}{r+7}$

$\frac{2a}{3a-1}-\frac{9a}{3a-1}$

$\frac{9x+7}{4x-6}+\frac{3x+2}{4x-6}$

$\frac{15y-4}{8y+1}-\frac{2y+1}{8y+1}$

$\frac{4}{a+3}+\frac{6}{a-5}$

$\frac{7a}{a+6}+\frac{5a}{a-8}$

$\frac{x+4}{x-2}+\frac{x+7}{x-1}$

$\frac{2y+1}{y+4}-\frac{y+6}{y+1}$

$\frac{x-3}{\left(x+2\right)\left(x+4\right)}+\frac{2x-1}{x+4}$

$\frac{6a+5}{\left(2a+1\right)\left(4a-3\right)}+\frac{4a+1}{2a+1}$

$\frac{4}{x^2+3x+2}+\frac{9}{x^2+6x+8}$

$\frac{6r}{r^2+7r-18}-\frac{-3r}{r^2-3r+2}$

$\frac{y+3}{y^2-11y+10}-\frac{y+1}{y^2+3y-4}$

$\frac{2a+5}{16a^2-1}-\frac{6a+7}{16a^2-12a+2}$

$\frac{7y+4}{6y^2-32y+32}+\frac{6y-10}{2y^2-18y+40}$

$\frac{x^2-x-12}{x^2-3x+2}·\frac{x^2+3x-4}{x^2-3x-18}$

$\frac{y^2-1}{y^2+9y+20}÷\frac{y^2+5y-6}{y^2-16}$

${\left(r+3\right)}^4·\frac{r+4}{{\left(r+3\right)}^3}$

${\left(b+5\right)}^3·\frac{{\left(b+1\right)}^2}{{\left(b+5\right)}^2}$