Prastinimo uzdavinys. a^-1+b^-1/a^-2-b^-2 * (a+b)^-1/(b²-a²)^-1

GinciusNiekaip nesigauna issprest.
a^-1+b^-1/a^-2-b^-2 * (a+b)^-1/(b²-a²)^-1

[tex]\[\frac{{{a^{ - 1}} + {b^{ - 1}}}}{{{a^{ - 2}} - {b^{ - 2}}}} = \frac{{\frac{1}{a} + \frac{1}{b}}}{{\frac{1}{{{a^2}}} - \frac{1}{{{b^2}}}}} = \][/tex]


[tex]\[\frac{{b + a}}{{ab}} \cdot \frac{{{a^2}{b^2}}}{{{b^2} - {a^2}}} = \][/tex]


[tex]\[ = \frac{{b + a}}{{ab}} \cdot \frac{{{a^2}{b^2}}}{{(b - a)(b + a)}} = \frac{{ab}}{{b - a}}\][/tex]