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2a); frac{3x-1}{x^2}+frac{x-9}{3x}=frac{3(3x-1)+x(x-9)}{3x^2}=frac{9x-3+x^2-9x}{3x^2}=frac{x^2-3}{3x^2}\\2b); frac{1}{2a-b}-frac{1}{2a+b}=frac{2a+b-(2a-b)}{(2a-b)(2a+b)}=frac{2a+b-2a+b}{(2a)^2-b^2}=frac{2b}{4a^2-b^2}\\4); frac{2a}{a-5}-frac{5}{a+5}+frac{2a^2}{25-a^2}=frac{2a(a+5)-5(a-5)-2a^2}{(a-5)(a+5)}=frac{2a^2+10a-5a+25-2a^2}{(a-5)(a+5)}=\\=frac{5a+25}{(a-5)(a+5)}=frac{5(a+5)}{(a-5)(a+5)}=frac{5}{a-5}

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