Complex rational expression

Question

Hi

 

i am trying to solve the following fraction but having some trouble. The answer i keep getting is (x²)/(2x+4) but the book says something else. 

 

(1)/(x+2)—(1)/(2) / x 

Answer 1

(1)/(x+2)—(1)/(2) / x  if taken as correctly stated, the second term is merely ½ ÷ x

 

so choose common denominator x(x+2) with numerator  x - ½(x+2)  and then you have

numerator ½x - 1 all  over (x² + 2x), which simplifies to

 

(x-2) ÷ [2(x² + 2x]