Acetic acid reaction sequence

Can anyone tell me where I am doing it wrong for the following reaction? ![enter image description here](https://i.stack.imgur.com/ywke4.jpg)


In the first step, Br should be attached to the alpha carbon. 


In second step, the bromide is replaced by cyanide.


I am able to get the third product that is final compound.




Step 1: $\alpha$-bromination
$$\ce{CH3-COOH + Br2/P -> Br-CH2-COOH}$$


Step 2: Nucleophilic Substitution by Sodium Cyanide
$$\ce{Br-CH2-COOH + NaCN -> NaBr + NC-CH2-COOH}$$


Step 3: Acid-catalyzed Conversion of Nitrile to Amide or Acid


(1) First hydration... $$\ce{NC-CH2-COOH + H2O -> H2N-CO-CH2-COOH}$$ 
(2) Further heating... $$\ce{H2N-CO-CH2-COOH -> HOOC-CH2-COOH + NH4+}$$


**Special Notes**


Be VERY CAREFUL with Step 2 as you are potentially forming $\ce{HCN}$ which could get everyone in the lab killed if you're not careful.


 5

There are two possibilities. You will have a two step reaction


NC-CH2COOH -> HOOC-CH2-COOH This is malonic acid. It can be further decarboxylated to 


HOOC-CH2-COOH + H$^+$ + heat -> CO2 + CH3COOH 


the final product is acetic acid.


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