Answer:
1. [tex]\frac{3x}{5y}+\frac{2z}{5y}=\boxed{\boldsymbol{\frac{3x+2z}{5y}}}[/tex]
2. [tex]\frac{1}{9x^2}+\frac{5}{9x^2}=\frac{6}{9x^2}=\boxed{\boldsymbol{\frac{2}{3x^2}}}[/tex]
3. [tex]\frac{x-10}{x-3}+\frac{x-2}{x-3}=\boxed{\boldsymbol{\frac{2x-12}{x-3}}}[/tex]
4. [tex]\frac{x}{x+1}-\frac{2}{x+1}=\boxed{\boldsymbol{\frac{x-2}{x+1}}}[/tex]
5. [tex]\frac{x^2}{x+3}-\frac{9}{x+3}=\frac{x^2-9}{x+3}=\frac{(x+3)(x-3)}{x+3}=\boxed{\boldsymbol{x-3}}[/tex]
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