Задание
Упрости выражения
- \(\dfrac{(a^{2\sqrt{3}}-1)(a^{\sqrt{3}+\sqrt{5}}+a^{\sqrt{5}}+a^{2\sqrt{3}+\sqrt{5}})}{a^{3\sqrt{3}+\sqrt{5}}-a^{\sqrt{5}}}=\) [ \(1+a^{\sqrt{3}}\) | \(1+a^{\sqrt{5}}\) | \(a^{3\sqrt{3}+\sqrt{5}}+a^{\sqrt{3}}\) ]
- \( \sqrt{(x^{\pi}+y^{\pi})^2-(32^{\frac{1}{3\pi}}xy)^{\pi}}= \) [ \(x^{\pi}+y^{\pi}\) | \(2x^{\pi}y^{\pi}\) | \(\sqrt{ x^{2\pi}-2x^{\pi}y^{\pi}+y^{2\pi}}\) ]
- \( \dfrac{a^{2\sqrt{5}}-b^{\sqrt{7}}}{(a^{\sqrt{5}}+b^{\sqrt{7}})^2} +1=\) [ \(\dfrac{a^{2\sqrt{5}}}{a^{\sqrt{5}}-b^{\sqrt{7}}} \) | \(\dfrac{a^{2\sqrt{2}}}{a^{\sqrt{2}}+b^{\sqrt{3}}} \) | \( \dfrac{a^{2\sqrt{5}}}{a^{\sqrt{5}}+b^{\sqrt{7}}}\) ]