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[tex] \frac{a}{a-b} -\frac{b}{a+b} [/tex]


Răspuns :

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

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