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Taller simplificación de fracciones 2

Simplificar las siguientes fracciones.

$$1) \frac{7a^{2}b^{3}}{9ax^{2}y}*\frac{18x^{2}c}{15ac^{4}}$$ $$2) \frac{21k^{2}p^{3}}{13mn^{2}}\div\frac{28p^{2}k^{3}}{39m^{2}n^{3}}$$ $$3) \frac{2x^{2}y}{3yz}\times\frac{5z^{2}x}{7xy^{2}}\div\frac{21x^{2}y^{3}z^{2}}{40xy^{2}z}$$ $$4) \frac{m^{2}}{8n}\times\frac{36p^{3}q^{2}}{81mn}\div\frac{15mpx^{5}}{27n^{2}x^{3}y}$$ $$5) \frac{14x^{2}-7x}{12x^{3}+24x^{2}}+\frac{2x-1}{x^{2}+2x}$$ $$6) \frac{a^{2}b^{2}+3ab}{4a^{2}-1}\div\frac{ab+3}{2a+1}$$ $$7) \frac{x^{2}-4a^{2}}{ax+2a^{2}}\times\frac{2a}{x-2a}$$ $$8) \frac{a^{2}-121}{a^{2}-4}\div\frac{a+11}{a+2}$$ $$9) \frac{16x^{2}-9a^{2}}{x^{2}-4}\times\frac{x-2}{4x-3a}$$ $$10) \frac{25x^{2}-9a^{2}}{x^{2}-4}\times\frac{x-2}{4x-3a}$$
$$11) \frac{x^{2}+5x+6}{x^{2}-1}\times\frac{x^{2}-2x-3}{x^{2}-9}$$ $$12) \frac{x^{2}+3x+2}{x^{2}+9x+20}\times\frac{x^{2}+7x+12}{x^{2}+5x+6}$$ $$13) \frac{2x^{2}+5x+2}{x^{2}-4}\times\frac{x^{2}+4x}{2x^{2}+9x+4}$$ $$14) \frac{b^{4}-27b}{2b^{2}+5b}\times\frac{4b^{2}-25}{2b^{2}-11b+15}$$ $$15) \frac{2x^{2}+13x+9}{4x^{2}-9}\div\frac{2x^{2}+11x+5}{4x^{2}-1}$$ $$16) \frac{3ax^{2}+3ax}{(a-x)^{2}}\times\frac{2a^{2}+ax-3x^{2}}{a^{2}-x^{2}}$$ $$17) \frac{x^{2}-14x-15}{2x^2-9x-45}\div\frac{x^{2}-12x-45}{x^{2}-6x-27}$$ $$18) \frac{2+3x+5x^{2}}{(1-x)^{3}}\div\frac{4x^{2}}{1+x^{3}}$$ $$19) \frac{2x^{2}-x-1}{2x^{2}+5x+2}\div\frac{4x^{2}+x-14}{16x^{2}-49}$$ $$20) \frac{a^{2}-2ab-3b^{2}}{(a+b)^{3}}\div\frac{a^{2}-4ab+3b^{2}}{a^{3}+b^{3}}$$