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Question-187252




Question Number 187252 by Rupesh123 last updated on 15/Feb/23
Answered by ajfour last updated on 15/Feb/23
Commented by ajfour last updated on 15/Feb/23
e^2 +f^2 −b^2 −d^2   =h^2 +(s+c)^3 +h^2 +(t+c)^2        −(h^2 +t^2 )−(h^2 +s^2 )     =2c^2 +2c(s+t)     =2c^2 +2c(a−c)     =2ac
$${e}^{\mathrm{2}} +{f}^{\mathrm{2}} −{b}^{\mathrm{2}} −{d}^{\mathrm{2}} \\ $$$$={h}^{\mathrm{2}} +\left({s}+{c}\right)^{\mathrm{3}} +{h}^{\mathrm{2}} +\left({t}+{c}\right)^{\mathrm{2}} \\ $$$$\:\:\:\:\:−\left({h}^{\mathrm{2}} +{t}^{\mathrm{2}} \right)−\left({h}^{\mathrm{2}} +{s}^{\mathrm{2}} \right) \\ $$$$\:\:\:=\mathrm{2}{c}^{\mathrm{2}} +\mathrm{2}{c}\left({s}+{t}\right) \\ $$$$\:\:\:=\mathrm{2}{c}^{\mathrm{2}} +\mathrm{2}{c}\left({a}−{c}\right) \\ $$$$\:\:\:=\mathrm{2}{ac} \\ $$$$\:\:\:\:\:\:\:\: \\ $$$$ \\ $$
Commented by Rupesh123 last updated on 15/Feb/23
Good job!

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