Multiply both sides by f. [tex](1/f)*f=(1/x+1/y)*f[/tex] Simplify. [tex]1=(fx+fy)/xy[/tex] Multiply both sides by xy. [tex](1)*xy=((xf+yf)/xy)*xy[/tex] Simplify. [tex]xy=xf+yf[/tex] Factor out f. [tex]xy=f(x+y)[/tex] Divide both sides by x+y. [tex](xy)/x+y=(f(x+y))/x+y[/tex] Simplify. [tex](xy)/(x+y)=f[/tex] [tex]f=(xy)/(x+y)[/tex]
Had to change the variable as Brainly thought it was a swearword. Sorry.
