Answer
The IUPAC name of the compound is $3-methylhexanedioic acid$. The common name of the compound is $β-methyladipic \hspace1mm acid$
Work Step by Step
The acid has 6 carbon atoms in its longest carbon chain containing the carboxylic functional group. It has 2 $COOH$ groups, and a $methyl$ substituent at position 3. So, the IUPAC name of the compound is $3-methylhexanedioic acid$. The common name of the compound is $β-methyladipic \hspace1mm acid$