To find the area of the rectangle, we start by using the formula for the area of a rectangle:

$\text{Area} = \text{length} \times \text{width}$

In this case:

• The length of the rectangle is $9 - d$.
• The width of the rectangle is $3$.

Thus, the expression for the area is:

$\text{Area} = (9 - d) \times 3$

Now, we expand this expression by distributing $3$ over $9 - d$:

$\text{Area} = 3 \times 9 - 3 \times d$ $\text{Area} = 27 - 3d$

So, the expanded expression for the area of the rectangle, without any brackets, is:

$\text{Area} = 27 - 3d$

Would you like more details or have any questions?

Here are some related questions that build on this concept:

1. How would the area change if the width was increased to $4$ instead of $3$?
2. What would the area expression be if the length was doubled?
3. How would you solve for $d$ if you knew the area was equal to $15$?
4. Can you find the perimeter of the rectangle given the expressions for length and width?
5. What would the expression look like if the width was a variable, say $w$, instead of a fixed $3$?

Tip: When simplifying expressions, always distribute any constants outside the brackets across each term inside.