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History of Hindu Mathematics: A Source Book v2.c17.s24.8

History of Hindu Mathematics: A Source Book v2.c17.s24.8

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v2.c17.s24.8

In general, assume x = mz², y = nz²; substituting in the second equation, we have $x³ + y³ = (m³ + n³)z⁶ = v².$ If m³ + n³ = a square = p², say, then v = pz³.