Add Subtract Rational Expressions

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**Answer**

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

$=\frac{4(2x+1)}{\left(5x+2\right)\left(2x+1\right)}+\frac{2(5x+2)}{\left(5x+2\right)\left(2x+1\right)}$$=\frac{(8x+4)+(10x+4)}{\left(5x+2\right)\left(2x+1\right)}$

$=\frac{18x+8}{\left(5x+2\right)\left(2x+1\right)}$

$=\frac{2(9x+4)}{\left(5x+2\right)\left(2x+1\right)}$