Prove that if a/b = c/d = e/f then (a^3b + 2c^2e - 3ae^2f)/(b^4 + 2d^2f - 3bf^3) = (ace)/(bdf)

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If `a/b = c/d = e/f`, prove that `(b^2 + d^2 + f^2)(a^2 + c^2 + e^2) = (ab + cd + ef)^2` If `a/b = c/d = e/f`, prove that `(b^2 + d^2 + f^2)(a^2 + c^2 + e^2) = (ab + cd + ef)^2`
If (a-b)/(d-e)=(b-c)/(e-f) then each them is equal to (b(f-d)+(cd-af))/e(f-d) ||@qazimathacademy If (a-b)/(d-e)=(b-c)/(e-f) then each them is equal to (b(f-d)+(cd-af))/e(f-d) ||@qazimathacademy
Q38 | If a/b=c/d=e/f=3, then (2a^2+3c^2+4e^2)/(2b^2+3d^2+4f^2)=? | Algebra | Gravity Coaching Centre Q38 | If a/b=c/d=e/f=3, then (2a^2+3c^2+4e^2)/(2b^2+3d^2+4f^2)=? | Algebra | Gravity Coaching Centre