Question 355579
Use a common denominator, {{{x(x+4)}}}
{{{(x+4)/x+x/(x+4)=(x+4)^2/(x(x+4))+x^2/(x(x+4))}}}
{{{(x+4)/x+x/(x+4)=((x+4)^2+x^2)/(x(x+4))}}}
{{{(x+4)/x+x/(x+4)=((x^2+8x+16)+x^2)/(x(x+4))}}}
{{{(x+4)/x+x/(x+4)=(2x^2+8x+16)/(x(x+4))}}}
{{{(x+4)/x+x/(x+4)=highlight((2(x^2+4x+8))/(x(x+4)))}}}