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[Paincho]

[tex]\frac{\sqrt{ab} \sqrt[4]{a}}{(a+2)\sqrt[4]{a^{-1}b^{2}}} - \frac{a^{2}+4}{a^{2}-4} , a\ne\pm 2, a>0, b>0[/tex]

Благодаря предварително !

[mp3]

[tex]\frac{\sqrt{a.b} .\sqrt[4]{a} }{(a+2).\sqrt[4]{\frac{1}{ a} .b^{2} }} - \frac{a^{2}+4}{ (a+2).(a-2)} =[/tex]

[tex]\frac {\sqrt{a.b} .\sqrt[4]{a}} {(a+2). \frac{\sqrt[4]{b^{2}} }{ \sqrt[4]{a} } }- \frac{a^{2}+4}{ (a+2).(a-2)} =[/tex]

[tex]=\frac{\sqrt{a}.\sqrt{b} .\sqrt[4]{a} .\sqrt[4]{a} }{(a+2).\sqrt[4]{b^{2} }} - \frac{a^{2}+4}{ (a+2).(a-2)} =[/tex]

[tex]=\frac{\sqrt{a}.\sqrt{b} .\sqrt[4]{a^{2}}}{(a+2).\sqrt[4]{b^{2} }} - \frac{a^{2}+4}{ (a+2).(a-2)} =[/tex]

[tex]=\frac{\sqrt{a}.\sqrt{b} .\sqrt{a}}{(a+2).\sqrt{b} } - \frac{a^{2}+4}{ (a+2).(a-2)} =[/tex]

[tex]=\frac {a} {(a+2)} - \frac{a^{2}+4}{ (a+2).(a-2)} =[/tex]

[tex]=\frac {a.(a-2)-(a^{2}+4)} { (a+2).(a-2)} =[/tex]

[tex]=\frac {a^{2}-2.a-a^{2}-4} { (a+2).(a-2)} =[/tex]

[tex]=\frac {-2.(a+2)} { (a+2).(a-2)} =[/tex]

[tex]=\frac {-2} { (a-2)} =[/tex]

[tex]=\frac {2} {2-a}[/tex]