#932 · Algebra · Linear equations

Proving an Algebraic Ratio Identity

If $\frac{a}{b} = \frac{c}{d} = \frac{e}{f}$ , prove that $\frac{2 a ^{4} b ^{2} + 3 a ^{2} e ^{2} - 5 e ^{4} f}{2 b ^{6} + 3 b ^{2} f ^{2} - 5 f ^{5}} = \frac{a ^{4}}{b ^{4}}$ .

~10 minProof · checked by AIratioproportionalgebraic identities

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. I. Ratio, Examples I, No. 7

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