To subtract the expressions \((9d + 5)\) and \((2d + 1)\), you can distribute the negative sign and then combine like terms:
\[ (9d + 5) - (2d + 1) = 9d + 5 - 2d - 1 \]
Now, combine the like terms:
- For the \(d\) terms: \(9d - 2d = 7d\)
- For the constant terms: \(5 - 1 = 4\)
Putting it all together, you get:
\[ 7d + 4 \]
So, \((9d + 5) - (2d + 1) = 7d + 4\).