Add Subtract Rational Expressions

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**Answer**

$\frac{2}{x-1}+\frac{6}{2x+1}$

$=\frac{2(2x+1)}{\left(x-1\right)\left(2x+1\right)}+\frac{6(x-1)}{\left(x-1\right)\left(2x+1\right)}$$=\frac{(4x+2)+(6x-6)}{\left(x-1\right)\left(2x+1\right)}$

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

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