Question

Сократить дробь a-1 / a-2√a+1

Answer 1

$\frac{a-1}{a-2 \sqrt{a}+1} = \frac{( \sqrt{a}) ^{2} -1 ^{2} }{( \sqrt{a} -1) ^{2} } = \frac{( \sqrt{a}-1)( \sqrt{a} +1) }{( \sqrt{a}-1) ^{2} } = \frac{ \sqrt{a}+1 }{ \sqrt{a}-1 }$