Question

How do you simplify `5/(2k+2)-k/(d+5)`?

Answer 1

`=(5d+25-2k^2-2k)/(2(k+1)(d+5))`

Explanation:

`5/(2k+2)-k/(d+5)" "larr` factorise

`=5/(2(k+1)) -k/((d+5))" "`find the LCM

`= (color(white)(........))/(2(k+1)(d+5))`

Make equivalent fractions:

`= (5(d+5) -2k(k+1))/(2(k+1)(d+5))`

`=(5d+25-2k^2-2k)/(2(k+1)(d+5))`