8.2 Reducing rational expressions  (Page 2/2)

$\frac{30y}{35y}$

$\frac{x^2-9}{x^2+5x+6}$

$\frac{x+2b}{4x+8b}$

$\frac{18a^3{b}^5{c}^7}{3a{b}^3{c}^5}$

$\frac{-3a^4+75a^2}{2a^3-16a^2+30a}$

$\frac{x^2-5x+4}{-x^2+12x-32}$

$\frac{2x-y}{y-2x}$

$\frac{6}{3x-12}$

$\frac{8}{4a-16}$

$\frac{9}{3y-21}$

$\frac{10}{5x-5}$

$\frac{7}{7x-14}$

$\frac{6}{6x-18}$

$\frac{2y^2}{8y}$

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

$\frac{16a^2{b}^3}{2a{b}^2}$

$\frac{20a^4{b}^4}{4a{b}^2}$

$\frac{\left(x+3\right)\left(x-2\right)}{\left(x+3\right)\left(x+5\right)}$

$\frac{\left(y-1\right)\left(y-7\right)}{\left(y-1\right)\left(y+6\right)}$

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

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

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

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

$\frac{-12x^2\left(x+4\right)}{4x}$

$\frac{-3a^4\left(a-1\right)\left(a+5\right)}{-2a^3\left(a-1\right)\left(a+9\right)}$

$\frac{6x^2{y}^5\left(x-1\right)\left(x+4\right)}{-2xy\left(x+4\right)}$

$\frac{22a^4{b}^6{c}^7\left(a+2\right)\left(a-7\right)}{4c\left(a+2\right)\left(a-5\right)}$

$\frac{{\left(x+10\right)}^3}{x+10}$

$\frac{{\left(y-6\right)}^7}{y-6}$

$\frac{{\left(x-8\right)}^2{\left(x+6\right)}^4}{\left(x-8\right)\left(x+6\right)}$

$\frac{{\left(a+1\right)}^5{\left(a-1\right)}^7}{{\left(a+1\right)}^3{\left(a-1\right)}^4}$

$\frac{{\left(y-2\right)}^6{\left(y-1\right)}^4}{{\left(y-2\right)}^3{\left(y-1\right)}^2}$

$\frac{{\left(x+10\right)}^5{\left(x-6\right)}^3}{\left(x-6\right){\left(x+10\right)}^2}$

$\frac{{\left(a+6\right)}^2{\left(a-7\right)}^6}{{\left(a+6\right)}^5{\left(a-7\right)}^2}$

$\frac{{\left(m+7\right)}^4{\left(m-8\right)}^5}{{\left(m+7\right)}^7{\left(m-8\right)}^2}$

$\frac{\left(a+2\right){\left(a-1\right)}^3}{\left(a+1\right)\left(a-1\right)}$

$\frac{\left(b+6\right){\left(b-2\right)}^4}{\left(b-1\right)\left(b-2\right)}$

$\frac{8{\left(x+2\right)}^3{\left(x-5\right)}^6}{2\left(x+2\right){\left(x-5\right)}^2}$

$\frac{14{\left(x-4\right)}^3{\left(x-10\right)}^6}{-7{\left(x-4\right)}^2{\left(x-10\right)}^2}$

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

$\frac{x^2+3x-10}{x^2+2x-15}$

$\frac{x^2-10x+21}{x^2-6x-7}$

$\frac{x^2+10x+24}{x^2+6x}$

$\frac{x^2+9x+14}{x^2+7x}$

$\frac{6b^2-b}{6b^2+11b-2}$

$\frac{3b^2+10b+3}{3b^2+7b+2}$

$\frac{4b^2-1}{2b^2+5b-3}$

$\frac{16a^2-9}{4a^2-a-3}$

$\frac{20x^2+28xy+9y^2}{4x^2+4xy+y^2}$

$\frac{x+3}{x+4}$

$\frac{a+7}{a-1}$

$\frac{3a+6}{3}$

$\frac{4x+12}{4}$

$\frac{5a-5}{-5}$

$\frac{6b-6}{-3}$

$\frac{8x-16}{-4}$

$\frac{4x-7}{-7}$

$\frac{-3x+10}{10}$

$\frac{x-2}{2-x}$

$\frac{a-3}{3-a}$

$\frac{x^3-x}{x}$

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

$\frac{a^5-a^2}{a}$

$\frac{a^6-a^4}{a^3}$

$\frac{4b^2+3b}{b}$

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

$\frac{a}{a^3+a}$

$\frac{x^4}{x^5-3x}$

$\frac{-a}{-a^2-a}$

( [link] ) Write ${\left(\frac{4^4{a}^8{b}^{10}}{4^2{a}^6{b}^2}\right)}^{-1}$ so that only positive exponents appear.

( [link] ) Factor $y^4-16$ .

( [link] ) Factor $10x^2-17x+3$ .

( [link] ) Supply the missing word. An equation expressed in the form $ax+by=c$ is said to be expressed in form.

( [link] ) Find the domain of the rational expression $\frac{2}{x^2-3x-18}$ .