Question

ok i need help subtracting x+2 over x squared +4x+3 minus x+1 over x+3

Answer 1

\[\frac{x+2}{x^2+4x+3}-\frac{x+1}{x+3}\]?

Answer 2

yes

Answer 3

factor the bottom of the fraction on the left and tell me what you have

Answer 4

factor x^2+4x+3

Answer 5

(x-4((x+1)

Answer 6

x^2+4x+3=0?

Answer 7

can you solve this?

Answer 8

no

Answer 9

well you need to go back and learn how to solve quadratic equations
\[\frac{x+2}{(x+3)(x+1)}-\frac{x+1}{x+3}\]
so we need to find a common denom and that will be (x+3)(x+1)
so we need to multiply the rhs by (x+1)(x+1)
\[\frac{x+2}{(x+3)(x+1)}-\frac{(x+1)(x+1)}{(x+3)(x+1)}\]=
\[\frac{x+2}{(x+3)(x+1)}-\frac{x^2+2x+1}{(x+3)(x+1)}\]=
\[\frac{x+2-x^2-2x-1}{(x+3)(x+1)}\]=
\[\frac{-x^2-x+1}{(x+3)(x+1)}\]