Skillnad mellan versioner av "1.4 Lösning 5b"

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<big><big><math> {2 \over x} + {3 \over x^2} + {4 \over x^3} \; = \; {2 \cdot x^2 \over x \cdot x^2} + {3 \cdot x \over x^2 \cdot x} + {4 \over x^3} \; = \; {2\,x^2 \over x^3} + {3\,x \over x^3} + {4 \over x^3} \; = \; </math></big></big>
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<big><big><math> {2 \over x} + {3 \over x^2} + {4 \over x^3} \; = \; {2\,\cdot\,x^2 \over x\,\cdot\,x^2} + {3\,\cdot\,x \over x^2\,\cdot\,x} + {4\,\over\,x^3} \; = \; {2\,x^2 \over x^3} + {3\,x \over x^3} + {4 \over x^3} \; = \; </math></big></big>
  
  
<big><big><math> = {2\,x^2 + 3\,x + 4 \over x^3} </math></big></big>
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<big><big><math> = {2\,x^2\,+\,3\,x\,+\,4 \over x^3} </math></big></big>

Nuvarande version från 2 augusti 2014 kl. 22.07

\( {2 \over x} + {3 \over x^2} + {4 \over x^3} \; = \; {2\,\cdot\,x^2 \over x\,\cdot\,x^2} + {3\,\cdot\,x \over x^2\,\cdot\,x} + {4\,\over\,x^3} \; = \; {2\,x^2 \over x^3} + {3\,x \over x^3} + {4 \over x^3} \; = \; \)


\( = {2\,x^2\,+\,3\,x\,+\,4 \over x^3} \)