Question Number 185864 by Mingma last updated on 29/Jan/23
Answered by mr W last updated on 29/Jan/23
Commented by mr W last updated on 29/Jan/23
$$\frac{{a}}{{b}}=\frac{{s}+{t}}{{s}}=\mathrm{1}+\frac{{t}}{{s}}=\mathrm{1}+\frac{{y}}{{x}} \\ $$$$\frac{{b}+{c}}{{a}}=\frac{{x}+{y}}{{x}}=\mathrm{1}+\frac{{y}}{{x}}=\frac{{a}}{{b}} \\ $$$$\Rightarrow{a}^{\mathrm{2}} ={b}\left({b}+{c}\right) \\ $$$$\Rightarrow{a}^{\mathrm{2}} −{b}^{\mathrm{2}} ={bc}\:\checkmark \\ $$