How do you simplify the expression 15-(17x+5)/(5x+10)?

Nov 19, 2017

$\frac{58 x + 145}{5 \left(x + 2\right)}$

Explanation:

$\text{we require to express 15 as a fraction with a denominator}$
$\text{of } 5 x + 10$

$\Rightarrow 15 = 15 \times \frac{5 x + 10}{5 x + 10} = \frac{75 x + 150}{5 x + 10}$

$\Rightarrow \frac{75 x + 150}{5 x + 10} - \frac{17 x + 5}{5 x + 10} \leftarrow \textcolor{b l u e}{\text{common denominators}}$

$\text{now subtract the numerators leaving the denominator}$

$= \frac{75 x + 150 - 17 x - 5}{5 x + 10}$

=(58x+145)/(5x+10)" or "(58x+145)/(5(x+2)