Pikeun ngabuktikeun yén \frac{a^2+b^2}{ab+1} nyaéta kuadrat hiji integer {ab+1} Ayeuna, urang bisa mimitian ku nyebutkeun \frac{a^2+b^2}{ab+1} salaku jumlah dua pecahan: \frac{a^2+b^2}{ab+1}=\frac{a^2+2ab+b^2}{ab+1}=\frac{a^2+b^2}{a+1}{a+2}{a+b^2}{b^2}{b^2}{b^2}{b^2}{b^2}{b^2}{b^2}{b^2}{b^2}{b^2}{b^2}{b^2}{b^2}{
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