a = b a 2 = a b 2 a 2 = a 2 + a b 2 a 2 − 2 a b = a 2 − a b 2 a ( a − b ) = a ( a − b ) 2 = 1 4 = 2 3 = 1 q e d {\displaystyle {\begin{aligned}\mathrm {a} &=\mathrm {b} \\\mathrm {a} ^{2}&=\mathrm {ab} \\2\mathrm {a} ^{2}&=\mathrm {a} ^{2}+\mathrm {ab} \\2\mathrm {a} ^{2}-2\mathrm {ab} &=\mathrm {a} ^{2}-\mathrm {ab} \\2\mathrm {a} (\mathrm {a} -\mathrm {b} )&=\mathrm {a} (\mathrm {a} -\mathrm {b} )\\2&=1\\4&=2\\3&=1\ qed\end{aligned}}}