Упрости выражения. \dfrac{(a^{2\sqrt{3}}-1)(a^{\sqrt{3}+\sqrt{5}}+a^{\sqrt{5}}+a^{2\sqrt{3}+\sqrt{5}})}{a^{3\sqrt{3}+\sqrt{5}}-a^{\sqrt{5}}}= . \sqrt{(x^{\pi}+y^{\pi})^{2}-\left(64^{\dfrac{1}{3\pi}}xy\right)^{\pi}}= . \dfrac{a^{2\sqrt{5}}-b^{\sqrt{7}}}{(a^{\sqrt{5}}+b^{\sqrt{7}})^{2}}+1= .

Задание

Выбери верные ответы

Упрости выражения.

\(\dfrac{(a^{2\sqrt{3}}-1)(a^{\sqrt{3}+\sqrt{5}}+a^{\sqrt{5}}+a^{2\sqrt{3}+\sqrt{5}})}{a^{3\sqrt{3}+\sqrt{5}}-a^{\sqrt{5}}}=\) [ \(1+a^{\sqrt{3}}\) | \(1+a^{\sqrt{5}}\) | \(a^{3\sqrt{3}+\sqrt{5}}+a^{\sqrt{5}}\) ].
\(\sqrt{(x^{\pi}+y^{\pi})^{2}-\left(64^{\dfrac{1}{3\pi}}xy\right)^{\pi}}=\) [ \(\sqrt{x^{2\pi}-2x^{\pi}y^{\pi}+y^{2\pi}}\) | \(x^{\pi}-y^{\pi}\) | \(2x^{\pi}y^{\pi}\) ].
\(\dfrac{a^{2\sqrt{5}}-b^{\sqrt{7}}}{(a^{\sqrt{5}}+b^{\sqrt{7}})^{2}}+1=\) [ \(\dfrac{2a^{\sqrt{5}}}{a^{\sqrt{5}}+b^{\sqrt{7}}}\) | \(\dfrac{2a^{\sqrt{2}}}{a^{\sqrt{2}}+b^{\sqrt{3}}}\) | \(\dfrac{2a^{\sqrt{5}}}{a^{\sqrt{5}}-b^{\sqrt{7}}}\) ].