If ab-cd-ef prove that - a2b2-c2d2-e2f2-acbd-cedf-aebf

Given: ab = cd = ef To proof: ( a^2b^2 + c^2d^2 + e^2f^2) = ( acbd + cedf + aebf) Proof: Taking L.H.S. a^2b^2 + c^2d^2 + e^2f^2 = ( ab)^2 ...

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Area of Any Polygon - by Heron's Formula

If ab=cd=ef...

Question

If $\frac{a}{b} = \frac{c}{d} = \frac{e}{f}$ prove that :
$(\frac{a^{2}}{b^{2}} + \frac{c^{2}}{d^{2}} + \frac{e^{2}}{f^{2}}) = (\frac{a c}{b d} + \frac{c e}{d f} + \frac{a e}{b f})$

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