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Divisió de fraccions algèbriques

Es multiplica la 1a per la inversa de la segona:

begin mathsize 12px style fraction numerator bold x to the power of bold 2 over denominator bold x to the power of bold 2 bold minus bold 1 end fraction bold times fraction numerator bold x to the power of bold 2 bold plus bold 2 bold x over denominator x plus 1 end fraction bold equals fraction numerator bold x to the power of bold 2 bold times open parentheses bold x bold plus bold 1 close parentheses over denominator open parentheses bold x to the power of bold 2 bold minus bold 1 close parentheses open parentheses bold x to the power of bold 2 bold plus bold 2 bold x close parentheses end fraction end style

Es factoritza el numerador i el denominador per simplificar:

begin mathsize 12px style fraction numerator bold x to the power of bold 2 bold times open parentheses bold x bold plus bold 1 close parentheses over denominator open parentheses bold x to the power of bold 2 bold minus bold 1 close parentheses open parentheses bold x to the power of bold 2 bold plus bold 2 bold x close parentheses end fraction equals fraction numerator bold x to the power of bold 2 bold times open parentheses bold x bold plus bold 1 close parentheses over denominator bold left parenthesis bold x bold plus bold 1 bold right parenthesis bold left parenthesis bold x bold minus bold 1 bold right parenthesis bold x bold left parenthesis bold x bold plus bold 2 bold right parenthesis end fraction bold equals fraction numerator bold x over denominator bold left parenthesis bold x bold minus bold 1 bold right parenthesis bold left parenthesis bold x bold plus bold 2 bold right parenthesis end fraction end style
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