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Question-55072




Question Number 55072 by peter frank last updated on 17/Feb/19
Commented by mr W last updated on 17/Feb/19
(ax+by)(bx−ay)=0  abx^2 −(a^2 −b^2 )xy−aby^2 =0  ⇒x^2 −y^2 −((a^2 −b^2 )/(ab))xy=0
$$\left({ax}+{by}\right)\left({bx}−{ay}\right)=\mathrm{0} \\ $$$${abx}^{\mathrm{2}} −\left({a}^{\mathrm{2}} −{b}^{\mathrm{2}} \right){xy}−{aby}^{\mathrm{2}} =\mathrm{0} \\ $$$$\Rightarrow{x}^{\mathrm{2}} −{y}^{\mathrm{2}} −\frac{{a}^{\mathrm{2}} −{b}^{\mathrm{2}} }{{ab}}{xy}=\mathrm{0} \\ $$

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