2x/x^2+4x+3 divided by 1/x+3 plus 2/x+1
I will assume you meant :
2x/(x^2+4x+3) ÷ 1/(x+1) + 2/(x+1)
if so, then.....
=2x/((x+1)(x+3)) * (x+1) + 2/(x+1)
= 2x/(x+1) + 2/(x+1)
= (2x+2)/(x+1)
= 2(x+1)/(x+1)
= 2 , x not equal to -1
2x/(x^2+4x+3) ÷ 1/(x+1) + 2/(x+1)
if so, then.....
=2x/((x+1)(x+3)) * (x+1) + 2/(x+1)
= 2x/(x+1) + 2/(x+1)
= (2x+2)/(x+1)
= 2(x+1)/(x+1)
= 2 , x not equal to -1