Respuestas

Cálculo Diferencial para Economía y Negocios

Sección 0.7. Fracciones Algebraicas. Racionalización

\(\dfrac{3x^{2}}{4}\)
\(\dfrac{a^{3}}{3b}\)
\(4ab-3\)
\(-x\)
\(a-1\)
\(\dfrac{x-5}{x-2}\)
\(x+2\)
\(\dfrac{x-1}{2\left(x+1\right)}\)
\(\dfrac{x-y}{x+y}\)
\(\dfrac{x-2y}{x^{2}+2xy+4y^{2}}\)
\(\dfrac{-a+3}{a^{2}+3a+9}\)
\(\dfrac{1}{x-1}\)
\(\dfrac{4y+1}{y\left(y+6\right)}\)
\(\dfrac{x+y}{x+6}\)
\(-x-4\)
\(x^{2}+3x+9\)
\(\dfrac{1}{x+2}\)
\(\dfrac{y}{y-1}\)
\(\dfrac{x\left(2x+3\right)}{2x-3}\)
\(\cfrac{4x-1}{2x-3}\)
\(\dfrac{\left(x-2\right)\left(x+2\right)}{x^{2}+5}\)
\(3x^{2}+3xh+h^{2}-7\)
\(\dfrac{\left(x+2\right)^{2}\left(x-13\right)}{\left(x-3\right)^{3}}\)
\(\dfrac{1}{\left(1-x^{2}\right)^{3/2}}\)
\(\dfrac{2x+3}{\left(1+x\right)^{4/3}}\)
\(-2\left(1+\sqrt{2}\right)\)
\(-\frac{1}{5}\left(21+9\sqrt{6}\right)\)
\(\frac{1}{3}\left(\sqrt[3]{49}-\sqrt[3]{14}+\sqrt[3]{4}\right)\)
\(\dfrac{7-2\sqrt{10}}{3}\)
\(\sqrt{3+h}+\sqrt{3}\)
\(a\left(\sqrt{a+1}+\sqrt{a-1}\right)\)
\(\dfrac{x-\sqrt{ax}-2a}{x-4a}\)
\(\dfrac{\left(x-5\right)\left(\sqrt{x-3}+\sqrt{x-13}\right)}{10}\)
\(8\sqrt[3]{x^{2}}+4\sqrt[3]{x}+2\)
\(8\sqrt[3]{\left(x-1\right)^{2}}-12\sqrt[3]{x\left(x-1\right)}+18\sqrt[3]{x^{2}}\)
\(3\left(\sqrt[3]{x}-\sqrt[3]{3y}\right)\)
\(\sqrt{2-\sqrt[3]{x}}\left(4+2\sqrt[3]{x}+\sqrt[3]{x^{2}}\right)\)
\(\frac{1}{2}\sqrt{2\sqrt{x}+\sqrt{2}}\left(2\sqrt{x}-\sqrt{2}\right)\)
\(\dfrac{1-\sqrt{1-a^{4}}}{a^{2}}\)
\(\dfrac{1}{3-\sqrt{5}}\)
\(\dfrac{1}{\sqrt{a+2}+\sqrt{a}}\)
\(\dfrac{1}{\sqrt{a-1+h}+\sqrt{a-1}}\)
\(\dfrac{1}{\sqrt{x}+3}\)
\(\dfrac{1}{\sqrt{x+4}+2}\)
\(\dfrac{2}{\sqrt{2\left(x+h\right)+1}+\sqrt{2x+1}}\)
\(\dfrac{1}{\sqrt{x^{2}+1}+x}\)
\(\dfrac{1}{\sqrt{x+1}+\sqrt{x}}\)
\(\dfrac{a\left(5a-1\right)}{\left(a-1\right)\left(a+1\right)}\)
\(\dfrac{4xy}{\left(x-y\right)\left(x+y\right)}\)
\(\dfrac{x+1}{x+3}\)
\(\dfrac{x-3}{\left(x-1\right)\left(x+1\right)}\)
\(\dfrac{3x}{\left(x-1\right)\left(x+1\right)}\)
\(\dfrac{3\left(x^{2}+x-8\right)}{\left(x+1\right)^{2}\left(x-5\right)}\)
\(\dfrac{x+2}{\left(x+1\right)\left(x+7\right)}\)
\(\dfrac{x^{2}}{y\left(x+y\right)}\)
\(\dfrac{x\left(3x+2\right)}{x-4}\)
\(\dfrac{x-2}{a-1}\)
\(x-y\)
\(\dfrac{a\left(a-3b\right)}{b\left(a-2b\right)}\)
\(\dfrac{x\left(x^{2}+x+1\right)}{x+2}\)
\(\dfrac{x\left(5x+1\right)}{2x+3}\)
\(\dfrac{\left(x-1\right)^{2}}{x\left(x-2\right)}\)
\(\dfrac{3\left(x-3\right)}{x\left(x+2\right)}\)
\(\dfrac{a^{2}+ab+b^{2}}{b}\)
\(x\left(x+6\right)\)
\(\dfrac{y}{x}\)
\(\dfrac{x-1}{x^{2}+1}\)
\(\dfrac{a}{a^{2}+2}\)
\(\dfrac{9x^{3}+x^{2}-21x+35}{24\left(x+4\right)\left(x-1\right)\left(x+1\right)}\)
\(x^{2}+x+1\)
\(\dfrac{a^{2}+ab+b^{2}}{a+b}\)
\(\dfrac{a^{3}}{a^{2}+b^{2}}\)
\(x^{2}\)
\(\dfrac{a+1}{\left(a-2\right)\left(a+7\right)}\)
\(\dfrac{2b}{a-b}\)
\(\dfrac{y-x}{xy}\)
\(\dfrac{\left(x+y\right)^{2}}{xy}\)
\(\dfrac{1}{\left(1+x\right)\left(1+x+h\right)}\)
\(\dfrac{1}{\sqrt{x}\sqrt{x+h}\left(\sqrt{x}+\sqrt{x+h}\right)}\)
\(-\dfrac{2x+h}{x^{2}\left(x+h\right)^{2}}\)