Question

Simplify the following expression show all of your work:
x/x-4 + 6/x+4 ÷ 3/2x^2 - 32

Answer 1

that is the equation

Answer 2

\[(x /x-4 )+ (6/x+4)\div3/2x^2-32\]
\[(x(x+4)+6(x-4))/(x+4)(x-4)\div3/2x^2-32\]
\[(x^2+4x+6x+24)/(x^2-16)\div3/2x^2-32\]
\[(x^2+4x+6x+24)/(x^2-16)/3/2x^2-32\]
\[(x^2+4x+6x+24)(2x^2-32)/3(x^2-16)\]
\[2(x^2+4x+6x+24)(x^2-16)/3(x^2-16)\]
\[2(x^2+4x+6x+24)/3\]
\[2(x^2+10x+24)/3\]