Question

упростить выражение

Answer 1

$\frac{\sqrt{a^3}-a}{a-2a^{1/2}+1}=\frac{a^{3/2}-a}{(a^{1/2})^2-2\cdot 1\cdot a^{1/2}+1}=\frac{a\cdot (a^{1/2}-1)}{(a^{1/2}-1)^2}=\frac{a}{a^{1/2}-1}=\frac{a}{\sqrt{a}-1}$