Question

Subtract the expressions:
x / x + 2 − 3 / x + 1.

Answer 1

Answer:

After subtraction expression will be$\frac{-2x-5}{(x+1)(x+2)}$

Step-by-step explanation:

We have given expression $\frac{x}{x+2}-\frac{3}{x+1}$

We have to subtract this

We know that for subtraction of fraction first we have to take L.C.M of denominator

So L.C.M of (x+2) and (x+1) will be (x+2) (x+1)

So $\frac{x}{x+2}-\frac{3}{x+1}=\frac{x+1-3(x+2)}{(x+2)(x+1)}=\frac{x+1-3x-6}{(x+2)(x+1)}=\frac{-2x-5}{(x+1)(x+2)}$