Question 651459
(x+3)/(x^2-x-2) + (x-1)/(x^2+2x+1)
Factor the DENs
= {{{(x+3)/((x-2)*(x+1)) + (x-1)/(x+1)^2}}}
Common DEN = (x-2)*(x+1)^2
= {{{(x+3)*(x+1)/((x-2)*(x+1)^2) + (x-1)*(x-2)/((x-2)*(x+1)^2)}}}
= {{{(x^2 + 4x + 3)/((x-2)*(x+1)^2) + (x^2 - 3x + 2)/((x-2)*(x+1)^2)}}}
= {{{(2x^2 + x + 5)/((x-2)*(x+1)^2))}}}