Question

Упростите выражение:
$\frac{ a^{2}-b^{2}}{ a^{4}-b^{4}}+ \frac{a}{ a^{2}+ b^{2} }$

Answer 1

(a²-b²)/(a²-b²)(a²+b²)  +  a/(a²+b²)=
1/(a²+b²)  +  a/(a²+b²)=(1+a)/(a²+b²)

Answer 2

$\frac{a^2-b^2}{a^4-b^4}+ \frac{a}{a^2+b^2}= \frac{a^2-b^2}{(a^2-b^2)(a^2+b^2)}+ \frac{a}{a^2+b^2}= \\ = \frac{1}{a^2+b^2}+ \frac{a}{a^2+b^2}= \frac{a+1}{a^2+b^2}$