Proportion Identity Proof Two

If $a : b = c : d$ , prove that $p a^{2} + q b^{2} : p a^{2} - q b^{2} = p c^{2} + q d^{2} : p c^{2} - q d^{2}$ .

~7 minProof · checked by AIProportionAlgebraic Identities

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. II. Proportion, Examples II, No. 5

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