Question

How do you simplify `(2x) /( x + 4) + (x + 1)/ (2x )`?

Answer 1

`color(blue)((5x^2+5x+4)/(2x(x+4))`

Explanation:

`(2x)/(x+4)+(x+1)/(2x)`

`:.= (2x xx 2x+(x+4) xx (x+1))/(2x(x+4))`

`:.=(4x^2+x^2+5x+4)/(2x(x+4))`

`:.color(blue)(=(5x^2+5x+4)/(2x(x+4))`