Question 1079440

how would you simplify {{{(3/(x+2))+(7/(x-4))}}}
would the lcd be (x+2)(x-4) then you would get 
3(x-4)+7(x+2)
3x+12+7x+14
10x+26
but im not sure
<pre>Yes, that's the LCD, but 3(x - 4) IS NOT 3x + 12, and you forgot that the LCD should be included as this is not an EQUATION to be solved, but an EXPRESSION to be simplified.
{{{(3/(x + 2)) + (7/(x - 4))}}}
{{{(3(x - 4) + 7(x + 2))/(x - 4)(x + 2)}}} ------ Multiplying by LCD, (x + 2)(x - 4)
{{{(3x - 12 + 7x + 14)/(x - 4)(x + 2)}}}
{{{highlight_green(matrix(1,7, (10x + 2)/(x - 4)(x + 2), or, (10x + 2)/(x^2 - 2x - 8), or, 2(5x + 1)/(x - 4)(x + 2), or, 2(5x + 1)/(x^2 - 2x - 8)))}}}