Question

упростить выражение

Answer 1

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