Add Subtract Rational Expressions

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**Answer**

$\frac{4}{5x-1}+\frac{5}{2x+5}$

$=\frac{4(2x+5)}{\left(5x-1\right)\left(2x+5\right)}+\frac{5(5x-1)}{\left(5x-1\right)\left(2x+5\right)}$$=\frac{(8x+20)+(25x-5)}{\left(5x-1\right)\left(2x+5\right)}$

$=\frac{33x+15}{\left(5x-1\right)\left(2x+5\right)}$

$=\frac{3(11x+5)}{\left(5x-1\right)\left(2x+5\right)}$