Question

4-[(x+3)/ ((x^2 +5x +6)/(x-2))]

Answer 1

3 + 4/(x+2)

Explanation:

4-[(x+3)/ ((x^2 +5x +6)/(x-2))]=

4- [(x+3)*(x-2)/(x^2 +5x +6))]=

4- [(x+3)(x-2)/(x+3)(x+2)]=

4-(x-2)/(x+2)=

(4x+8-x+2)/(x+2)=

(3x+10)/(x+2)=

3 + 4/(x+2)