Question

Add$\frac{2r^2}{2r-1}+\frac{15r-8}{2r-1}$

Short answer

The required expression is$r+8$

Step-by-step solution

Given information

The given expression is$\frac{2r^2}{2r-1}+\frac{15r-8}{2r-1}$

Simplifying the expression

The two rational expressions have same denominators, combining the expressions:

$\frac{2r^2+15r-8}{2r-1}$

Factorizing the numerator:

$\frac{(2r-1)(r+8)}{2r-1}$

Cancel the common factor:

$r+8$