$\frac{\sqrt{1-\sqrt{1-x^{2}}}(\sqrt{(1+x)^3}+\sqrt{(1-x)^3})}{2-\sqrt{1-x^{2}}}$
với $-1 \leq $ x $\leq 1 $
$\frac{\sqrt{1-\sqrt{1-x^{2}}}(\sqrt{(1+x)^3}+\sqrt{(1-x)^3})}{2-\sqrt{1-x^{2}}}$
với $-1 \leq $ x $\leq 1 $
$\frac{\sqrt{1-\sqrt{1-x^{2}}}(\sqrt{(1+x)^3}+\sqrt{(1-x)^3})}{2-\sqrt{1-x^{2}}}$
với $-1 \leq $ x $\leq 1 $
$\frac{\sqrt{1-\sqrt{1-x^{2}}}(\sqrt{(1+x)^3}+\sqrt{(1-x)^3})}{2-\sqrt{1-x^{2}}}$
$=\frac{\sqrt{1-\sqrt{1-x^{2}}}(\sqrt{1+x}+\sqrt{1-x})(1+x+\sqrt{1-x^2}+1-x)}{2-\sqrt{1-x^{2}}}$
$=\sqrt{1-\sqrt{1-x^2}}\sqrt{(\sqrt{1+x}+\sqrt{1-x})^2}$(Vì $\sqrt{1-x}+\sqrt{1+x}>0$)
$=\sqrt{1-\sqrt{1-x^2}}\sqrt{1+x+2\sqrt{1-x^2}+1-x}$
$=\sqrt{2}\sqrt{(1-\sqrt{1-x^2})(1+\sqrt{1-x^2})}$
$=\sqrt{2}\sqrt{1-1+x^2}$
$=x\sqrt{2}$
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