Question

Work out the following division: $(10x-25)÷(2x-5)$

Answer 1

Divide $(10x-25)÷(2x-5)$.

Cancel out the common factors.

$\begin{array}{rcl}(10x-25)÷(2x-5)& =& \frac{(10x-25)}{(2x-5)}\\ & =& \frac{5(2x-5)}{(2x-5)}\\ & =& 5\end{array}$

Thus, $(10x–25)÷(2x–5)=5$