8.3 Multiplying and dividing rational expressions  (Page 2/2)

$\frac{5}{3}·\frac{6}{7}$

$\frac{a^3}{b^2{c}^2}·\frac{c^5}{a^5}$

$\frac{y-1}{y^2+1}·\frac{y+1}{y^2-1}$

$\frac{x^2-x-12}{x^2+7x+6}·\frac{x^2-4x-5}{x^2-9x+20}$

$\frac{x^2+6x+8}{x^2-6x+8}·\frac{x^2-2x-8}{x^2+2x-8}$

$\frac{8m^{2}n}{3a^5{b}^2}÷\frac{2m}{15a^7{b}^2}$

$\frac{x^2-4}{x^2+x-6}÷\frac{x^2+x-2}{x^2+4x+3}$

$\frac{6a^2+17a+12}{3a+2}÷\left(2a+3\right)$

$\frac{4a^3}{5b}·\frac{3b}{2a}$

$\frac{9x^4}{4y^3}·\frac{10y}{x^2}$

$\frac{a}{b}·\frac{b}{a}$

$\frac{2x}{5y}·\frac{5y}{2x}$

$\frac{12a^3}{7}·\frac{28}{15a}$

$\frac{39m^4}{16}·\frac{4}{13m^2}$

$\frac{18x^6}{7}·\frac{1}{4x^2}$

$\frac{34a^6}{21}·\frac{42}{17a^5}$

$\frac{16x^6{y}^3}{15x^2}·\frac{25x}{4y}$

$\frac{27a^7{b}^4}{39b}·\frac{13a^4{b}^2}{16a^5}$

$\frac{10x^2{y}^3}{7y^5}·\frac{49y}{15x^6}$

$\frac{22m^3{n}^4}{11m^{6}n}·\frac{33mn}{4m{n}^3}$

$\frac{-10p^{2}q}{7a^3{b}^2}·\frac{21a^5{b}^3}{2p}$

$\frac{-25m^4{n}^3}{14r^3{s}^3}·\frac{21r{s}^4}{10mn}$

$\frac{9}{a}÷\frac{3}{a^2}$

$\frac{10}{b^2}÷\frac{4}{b^3}$

$\frac{21a^4}{5b^2}÷\frac{14a}{15b^3}$

$\frac{42x^5}{16y^4}÷\frac{21x^4}{8y^3}$

$\frac{39x^2{y}^2}{55p^2}÷\frac{13x^{3}y}{15p^6}$

$\frac{14m{n}^3}{25n^6}÷\frac{32m}{20m^2{n}^3}$

$\frac{12a^2{b}^3}{-5x{y}^4}÷\frac{6a^2}{15x^2}$

$\frac{24p^{3}q}{9m{n}^3}÷\frac{10pq}{-21n^2}$

$\frac{x+8}{x+1}·\frac{x+2}{x+8}$

$\frac{x+10}{x-4}·\frac{x-4}{x-1}$

$\frac{2x+5}{x+8}·\frac{x+8}{x-2}$

$\frac{y+2}{2y-1}·\frac{2y-1}{y-2}$

$\frac{x-5}{x-1}÷\frac{x-5}{4}$

$\frac{x}{x-4}÷\frac{2x}{5x+1}$

$\frac{a+2b}{a-1}÷\frac{4a+8b}{3a-3}$

$\frac{6m+2}{m-1}÷\frac{4m-4}{m-1}$

$x^3·\frac{4ab}{x}$

$y^4·\frac{3x^2}{y^2}$

$2a^5÷\frac{6a^2}{4b}$

$16x^2{y}^3÷\frac{10xy}{3}$

$21m^4{n}^2÷\frac{3m{n}^2}{7n}$

$\left(x+8\right)·\frac{x+2}{x+8}$

$\left(x-2\right)·\frac{x-1}{x-2}$

${\left(a-6\right)}^3·\frac{{\left(a+2\right)}^2}{a-6}$

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

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

${\left(x^3-7\right)}^4·\frac{x^2-1}{{\left(x^3-7\right)}^2}$

$\left(x-5\right)÷\frac{x-5}{x-2}$

$\left(y-2\right)÷\frac{y-2}{y-1}$

${\left(y+6\right)}^3÷\frac{{\left(y+6\right)}^2}{y-6}$

${\left(a-2b\right)}^4÷\frac{{\left(a-2b\right)}^2}{a+b}$

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

$\frac{6x-42}{x^2-2x-3}·\frac{x^2-1}{x-7}$

$\frac{3a+3b}{a^2-4a-5}÷\frac{9a+9b}{a^2-3a-10}$

$\frac{a^2-4a-12}{a^2-9}÷\frac{a^2-5a-6}{a^2+6a+9}$

$\frac{b^2-5b+6}{b^2-b-2}·\frac{b^2-2b-3}{b^2-9b+20}$

$\frac{m^2-4m+3}{m^2+5m-6}·\frac{m^2+4m-12}{m^2-5m+6}$

$\frac{r^2+7r+10}{r^2-2r-8}÷\frac{r^2+6r+5}{r^2-3r-4}$

$\frac{2a^2+7a+3}{3a^2-5a-2}·\frac{a^2-5a+6}{a^2+2a-3}$

$\frac{6x^2+x-2}{2x^2+7x-4}·\frac{x^2+2x-12}{3x^2-4x-4}$

$\frac{x^{3}y-x^2{y}^2}{x^{2}y-y^2}·\frac{x^2-y}{x-xy}$

$\frac{4a^{3}b-4a^2{b}^2}{15a-10}·\frac{3a-2}{4ab-2b^2}$

$\frac{x+3}{x-4}·\frac{x-4}{x+1}·\frac{x-2}{x+3}$

$\frac{x-7}{x+8}·\frac{x+1}{x-7}·\frac{x+8}{x-2}$

$\frac{2a-b}{a+b}·\frac{a+3b}{a-5b}·\frac{a-5b}{2a-b}$

$\frac{3a{\left(a+1\right)}^2}{a-5}·\frac{6{\left(a-5\right)}^2}{5a+5}·\frac{15a+30}{4a-20}$

$\frac{-3a^2}{4b}·\frac{-8b^3}{15a}$

$\frac{-6x^3}{5y^2}·\frac{20y}{-2x}$

$\frac{-8x^2{y}^3}{-5x}÷\frac{4}{-15xy}$

$\frac{-4a^3}{3b}÷\frac{2a}{6b^2}$

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

$\frac{x^2-x-2}{x^2-3x-4}·\frac{-x^2+2x+3}{-4x-8}$

$\frac{-5x-10}{x^2-4x+3}·\frac{x^2+4x+1}{x^2+x-2}$

$\frac{-a^2-2a+15}{-6a-12}÷\frac{a^2-2a-8}{-2a-10}$

$\frac{-b^2-5b+14}{3b-6}÷\frac{-b^2-9b-14}{-b+8}$

$\frac{3a+6}{4a-24}·\frac{6-a}{3a+15}$

$\frac{4x+12}{x-7}·\frac{7-x}{2x+2}$

$\frac{-2b-2}{b^2+b-6}·\frac{-b+2}{b+5}$

$\frac{3x^2-6x-9}{2x^2-6x-4}÷\frac{3x^2-5x-2}{6x^2-7x-3}$

$\frac{-2b^2-2b+4}{8b^2-28b-16}÷\frac{b^2-2b+1}{2b^2-5b-3}$

$\frac{x^2+4x+3}{x^2+5x+4}÷\left(x+3\right)$

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

$\frac{3x^2-21x+18}{x^2+5x+6}÷\left(x+2\right)$

( [link] ) If $a<0$ , then $\left|a\right|=$ .

( [link] ) Classify the polynomial $4xy+2y$ as a monomial, binomial, or trinomial. State its degree and write the numerical coefficient of each term.

( [link] ) Find the product: $y^2\left(2y-1\right)\left(2y+1\right)$ .

( [link] ) Translate the sentence “four less than twice some number is two more than the number” into an equation.

( [link] ) Reduce the fraction $\frac{x^2-4x+4}{x^2-4}$ .