COMO REDUZIR OS TERMOS
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Bom dia Suelle!
Solução!
![e)\\\\
10x^{2}y-5xy^{2}+\dfrac{1x^{2}y}{3}+\dfrac{4xy^{2}}{9}\\\\\\ \dfrac{90x^{2}y-45xy^{2}+3x^{2}y+4xy^{2}}{9}\\\\\\ \dfrac{90x^{2}y+3x^{2y}}{9}+\dfrac{-45xy^{2}+4xy^{2}}{9}\\\\\\ \dfrac{93x^{2}y}{9}-\dfrac{41xy^{2}}{9}\\\\\\ \dfrac{31x^{2}y}{3}-\dfrac{41xy^{2}}{9}$\\\\\\\\\\\](https://tex.z-dn.net/?f=e%29%5C%5C%5C%5C%0A10x%5E%7B2%7Dy-5xy%5E%7B2%7D%2B%5Cdfrac%7B1x%5E%7B2%7Dy%7D%7B3%7D%2B%5Cdfrac%7B4xy%5E%7B2%7D%7D%7B9%7D%5C%5C%5C%5C%5C%5C+%5Cdfrac%7B90x%5E%7B2%7Dy-45xy%5E%7B2%7D%2B3x%5E%7B2%7Dy%2B4xy%5E%7B2%7D%7D%7B9%7D%5C%5C%5C%5C%5C%5C+%5Cdfrac%7B90x%5E%7B2%7Dy%2B3x%5E%7B2y%7D%7D%7B9%7D%2B%5Cdfrac%7B-45xy%5E%7B2%7D%2B4xy%5E%7B2%7D%7D%7B9%7D%5C%5C%5C%5C%5C%5C+%5Cdfrac%7B93x%5E%7B2%7Dy%7D%7B9%7D-%5Cdfrac%7B41xy%5E%7B2%7D%7D%7B9%7D%5C%5C%5C%5C%5C%5C+%5Cdfrac%7B31x%5E%7B2%7Dy%7D%7B3%7D-%5Cdfrac%7B41xy%5E%7B2%7D%7D%7B9%7D%24%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A%0A "e)\\\\
10x^{2}y-5xy^{2}+\dfrac{1x^{2}y}{3}+\dfrac{4xy^{2}}{9}\\\\\\ \dfrac{90x^{2}y-45xy^{2}+3x^{2}y+4xy^{2}}{9}\\\\\\ \dfrac{90x^{2}y+3x^{2y}}{9}+\dfrac{-45xy^{2}+4xy^{2}}{9}\\\\\\ \dfrac{93x^{2}y}{9}-\dfrac{41xy^{2}}{9}\\\\\\ \dfrac{31x^{2}y}{3}-\dfrac{41xy^{2}}{9}$\\\\\\\\\\\")
![f)~~\left( \dfrac{1x^{-4}}{3}\right) +\left( \dfrac{2x^{-6}}{3}\right) -\left( \dfrac{3x^{-2}}{2}\right) ^{3} +\left( \dfrac{1x^{-2}}{2}\right)^{2} \\\\\\\\
\left( \dfrac{1}{3x^{4}}\right) +\left( \dfrac{2}{3x^{6}}\right) -\left( \dfrac{3}{2x^{2}}\right) ^{3} +\left( \dfrac{1}{2x^{2}}\right)^{2}\\\\\\\\\\
\left( \dfrac{1}{3x^{4}}\right) +\left( \dfrac{2}{3x^{6}}\right) -\left( \dfrac{27}{8x^{6}}\right) +\left( \dfrac{1}{4x^{4}}\right)\\\\\\\](https://tex.z-dn.net/?f=f%29%7E%7E%5Cleft%28+%5Cdfrac%7B1x%5E%7B-4%7D%7D%7B3%7D%5Cright%29+%2B%5Cleft%28+%5Cdfrac%7B2x%5E%7B-6%7D%7D%7B3%7D%5Cright%29+-%5Cleft%28+%5Cdfrac%7B3x%5E%7B-2%7D%7D%7B2%7D%5Cright%29+%5E%7B3%7D+%2B%5Cleft%28+%5Cdfrac%7B1x%5E%7B-2%7D%7D%7B2%7D%5Cright%29%5E%7B2%7D+%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cleft%28+%5Cdfrac%7B1%7D%7B3x%5E%7B4%7D%7D%5Cright%29+%2B%5Cleft%28+%5Cdfrac%7B2%7D%7B3x%5E%7B6%7D%7D%5Cright%29+-%5Cleft%28+%5Cdfrac%7B3%7D%7B2x%5E%7B2%7D%7D%5Cright%29+%5E%7B3%7D+%2B%5Cleft%28+%5Cdfrac%7B1%7D%7B2x%5E%7B2%7D%7D%5Cright%29%5E%7B2%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cleft%28+%5Cdfrac%7B1%7D%7B3x%5E%7B4%7D%7D%5Cright%29+%2B%5Cleft%28+%5Cdfrac%7B2%7D%7B3x%5E%7B6%7D%7D%5Cright%29+-%5Cleft%28+%5Cdfrac%7B27%7D%7B8x%5E%7B6%7D%7D%5Cright%29+%2B%5Cleft%28+%5Cdfrac%7B1%7D%7B4x%5E%7B4%7D%7D%5Cright%29%5C%5C%5C%5C%5C%5C%5C%0A%0A+ "f)~~\left( \dfrac{1x^{-4}}{3}\right) +\left( \dfrac{2x^{-6}}{3}\right) -\left( \dfrac{3x^{-2}}{2}\right) ^{3} +\left( \dfrac{1x^{-2}}{2}\right)^{2} \\\\\\\\
\left( \dfrac{1}{3x^{4}}\right) +\left( \dfrac{2}{3x^{6}}\right) -\left( \dfrac{3}{2x^{2}}\right) ^{3} +\left( \dfrac{1}{2x^{2}}\right)^{2}\\\\\\\\\\
\left( \dfrac{1}{3x^{4}}\right) +\left( \dfrac{2}{3x^{6}}\right) -\left( \dfrac{27}{8x^{6}}\right) +\left( \dfrac{1}{4x^{4}}\right)\\\\\\\")
![\dfrac{1}{3x^{4}} + \dfrac{2}{3x^{6}} -\dfrac{27}{8x^{6}} + \dfrac{1}{4x^{4}}\\\\\\\\\
\dfrac{2}{3x^{6}} -\dfrac{27}{8x^{6}}+\dfrac{1}{3x^{4}}+ \dfrac{1}{4x^{4}}\\\\\\\\
\dfrac{16-81}{24x^{6}}+\dfrac{4+3}{12x^{4}}\\\\\\\\\
-\dfrac{65}{24x^{6}}+\dfrac{7}{12x^{4}}$](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3x%5E%7B4%7D%7D+%2B+%5Cdfrac%7B2%7D%7B3x%5E%7B6%7D%7D+-%5Cdfrac%7B27%7D%7B8x%5E%7B6%7D%7D+%2B+%5Cdfrac%7B1%7D%7B4x%5E%7B4%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A+%0A%5Cdfrac%7B2%7D%7B3x%5E%7B6%7D%7D+-%5Cdfrac%7B27%7D%7B8x%5E%7B6%7D%7D%2B%5Cdfrac%7B1%7D%7B3x%5E%7B4%7D%7D%2B+%5Cdfrac%7B1%7D%7B4x%5E%7B4%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B16-81%7D%7B24x%5E%7B6%7D%7D%2B%5Cdfrac%7B4%2B3%7D%7B12x%5E%7B4%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A-%5Cdfrac%7B65%7D%7B24x%5E%7B6%7D%7D%2B%5Cdfrac%7B7%7D%7B12x%5E%7B4%7D%7D%24 "\dfrac{1}{3x^{4}} + \dfrac{2}{3x^{6}} -\dfrac{27}{8x^{6}} + \dfrac{1}{4x^{4}}\\\\\\\\\
\dfrac{2}{3x^{6}} -\dfrac{27}{8x^{6}}+\dfrac{1}{3x^{4}}+ \dfrac{1}{4x^{4}}\\\\\\\\
\dfrac{16-81}{24x^{6}}+\dfrac{4+3}{12x^{4}}\\\\\\\\\
-\dfrac{65}{24x^{6}}+\dfrac{7}{12x^{4}}$")
![g)~~\dfrac{2x^{2}}{3}\times\dfrac{1x^{4}}{2}-\left( \dfrac{x}{2} \times x^{2} \right) ^{2}\\\\\\
\dfrac{2x^{6}}{6}\left( \dfrac{1x^{3}}{2}\right) ^{2}\\\\\\
\dfrac{2x^{6}}{6}-\dfrac{1x^{6}}{4}\\\\\
\dfrac{4x^{6} -3x^{6}}{12}\\\\\\
\dfrac{x^{6}}{12}$](https://tex.z-dn.net/?f=g%29%7E%7E%5Cdfrac%7B2x%5E%7B2%7D%7D%7B3%7D%5Ctimes%5Cdfrac%7B1x%5E%7B4%7D%7D%7B2%7D-%5Cleft%28+%5Cdfrac%7Bx%7D%7B2%7D+%5Ctimes+x%5E%7B2%7D+%5Cright%29+%5E%7B2%7D%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B2x%5E%7B6%7D%7D%7B6%7D%5Cleft%28+%5Cdfrac%7B1x%5E%7B3%7D%7D%7B2%7D%5Cright%29+%5E%7B2%7D%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B2x%5E%7B6%7D%7D%7B6%7D-%5Cdfrac%7B1x%5E%7B6%7D%7D%7B4%7D%5C%5C%5C%5C%5C%0A%5Cdfrac%7B4x%5E%7B6%7D+-3x%5E%7B6%7D%7D%7B12%7D%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7Bx%5E%7B6%7D%7D%7B12%7D%24 "g)~~\dfrac{2x^{2}}{3}\times\dfrac{1x^{4}}{2}-\left( \dfrac{x}{2} \times x^{2} \right) ^{2}\\\\\\
\dfrac{2x^{6}}{6}\left( \dfrac{1x^{3}}{2}\right) ^{2}\\\\\\
\dfrac{2x^{6}}{6}-\dfrac{1x^{6}}{4}\\\\\
\dfrac{4x^{6} -3x^{6}}{12}\\\\\\
\dfrac{x^{6}}{12}$")
![h)~~\left( \dfrac{1x^{2}}{2}\right)^{3} \times \dfrac{1x^{3}}{3} -\dfrac{2x^{4}}{3}.\dfrac{1x^{5}}{3}+\left[\left( \dfrac{1x^{2}}{2}\right)^{2}\right] ^{2}\times x\\\\\\\
\dfrac{x^{6}}{8}\times\dfrac{x^{3}}{3}-\dfrac{2x^{9}}{9}+\dfrac{x^{9}}{16}\\\\\\\
\dfrac{x^{9}}{24}-\dfrac{2x^{9}}{9}+\dfrac{x^{9}}{16}\\\\\\\
\dfrac{6x^{9}-32x^{9}+9x^{9}}{144}\\\\\\\
\dfrac{15x^{9}-32x^{9} }{144}\\\\\\
\dfrac{-17x^{9}}{144}](https://tex.z-dn.net/?f=h%29%7E%7E%5Cleft%28+%5Cdfrac%7B1x%5E%7B2%7D%7D%7B2%7D%5Cright%29%5E%7B3%7D+%5Ctimes+%5Cdfrac%7B1x%5E%7B3%7D%7D%7B3%7D+-%5Cdfrac%7B2x%5E%7B4%7D%7D%7B3%7D.%5Cdfrac%7B1x%5E%7B5%7D%7D%7B3%7D%2B%5Cleft%5B%5Cleft%28+%5Cdfrac%7B1x%5E%7B2%7D%7D%7B2%7D%5Cright%29%5E%7B2%7D%5Cright%5D+%5E%7B2%7D%5Ctimes+x%5C%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7Bx%5E%7B6%7D%7D%7B8%7D%5Ctimes%5Cdfrac%7Bx%5E%7B3%7D%7D%7B3%7D-%5Cdfrac%7B2x%5E%7B9%7D%7D%7B9%7D%2B%5Cdfrac%7Bx%5E%7B9%7D%7D%7B16%7D%5C%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7Bx%5E%7B9%7D%7D%7B24%7D-%5Cdfrac%7B2x%5E%7B9%7D%7D%7B9%7D%2B%5Cdfrac%7Bx%5E%7B9%7D%7D%7B16%7D%5C%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B6x%5E%7B9%7D-32x%5E%7B9%7D%2B9x%5E%7B9%7D%7D%7B144%7D%5C%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B15x%5E%7B9%7D-32x%5E%7B9%7D+%7D%7B144%7D%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B-17x%5E%7B9%7D%7D%7B144%7D "h)~~\left( \dfrac{1x^{2}}{2}\right)^{3} \times \dfrac{1x^{3}}{3} -\dfrac{2x^{4}}{3}.\dfrac{1x^{5}}{3}+\left[\left( \dfrac{1x^{2}}{2}\right)^{2}\right] ^{2}\times x\\\\\\\
\dfrac{x^{6}}{8}\times\dfrac{x^{3}}{3}-\dfrac{2x^{9}}{9}+\dfrac{x^{9}}{16}\\\\\\\
\dfrac{x^{9}}{24}-\dfrac{2x^{9}}{9}+\dfrac{x^{9}}{16}\\\\\\\
\dfrac{6x^{9}-32x^{9}+9x^{9}}{144}\\\\\\\
\dfrac{15x^{9}-32x^{9} }{144}\\\\\\
\dfrac{-17x^{9}}{144}")
![i)\\\ \left(\dfrac{4x^{4}}{9}:\dfrac{2x}{3}\right)^{3} +\dfrac{1x^{9}}{2} -\left( \dfrac{1x^{3}}{2}\right) ^{4}:\dfrac{1x^{3}}{3}\\\\\\
\dfrac{8x^{9}}{27}+\dfrac{1x^{9}}{2}-\dfrac{3x^{9}}{16}\\\\\\\
\dfrac{128x^{9}+216x^{9} -81x^{9}}{432}\\\\\\\
\dfrac{263x^{9}}{432}$](https://tex.z-dn.net/?f=i%29%5C%5C%5C+%5Cleft%28%5Cdfrac%7B4x%5E%7B4%7D%7D%7B9%7D%3A%5Cdfrac%7B2x%7D%7B3%7D%5Cright%29%5E%7B3%7D+%2B%5Cdfrac%7B1x%5E%7B9%7D%7D%7B2%7D+-%5Cleft%28+%5Cdfrac%7B1x%5E%7B3%7D%7D%7B2%7D%5Cright%29+%5E%7B4%7D%3A%5Cdfrac%7B1x%5E%7B3%7D%7D%7B3%7D%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B8x%5E%7B9%7D%7D%7B27%7D%2B%5Cdfrac%7B1x%5E%7B9%7D%7D%7B2%7D-%5Cdfrac%7B3x%5E%7B9%7D%7D%7B16%7D%5C%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B128x%5E%7B9%7D%2B216x%5E%7B9%7D+-81x%5E%7B9%7D%7D%7B432%7D%5C%5C%5C%5C%5C%5C%5C%0A%5Cdfrac%7B263x%5E%7B9%7D%7D%7B432%7D%24 "i)\\\ \left(\dfrac{4x^{4}}{9}:\dfrac{2x}{3}\right)^{3} +\dfrac{1x^{9}}{2} -\left( \dfrac{1x^{3}}{2}\right) ^{4}:\dfrac{1x^{3}}{3}\\\\\\
\dfrac{8x^{9}}{27}+\dfrac{1x^{9}}{2}-\dfrac{3x^{9}}{16}\\\\\\\
\dfrac{128x^{9}+216x^{9} -81x^{9}}{432}\\\\\\\
\dfrac{263x^{9}}{432}$")
Bom dia!
Bons estudos!
Solução!
Bom dia!
Bons estudos!
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