To use the Distributive Property to rewrite the expression \((2x + 9)(x - 3)\), we need to multiply each term in the first parentheses by each term in the second parentheses.
1. Distribute \(2x\):
- \(2x \cdot x = 2x^2\)
- \(2x \cdot (-3) = -6x\)
2. Distribute \(9\):
- \(9 \cdot x = 9x\)
- \(9 \cdot (-3) = -27\)
Now, combine all the results:
\[
2x^2 - 6x + 9x - 27
\]
Combine like terms:
\[
2x^2 + (9x - 6x) - 27 = 2x^2 + 3x - 27
\]
Thus, the rewritten expression using the Distributive Property is:
\[
2x^2 + 3x - 27
\]
You would fill in the appropriate response areas with:
- \(2x^2\) in the first response area
- \(3x\) in the second response area
- \(-27\) (or just leaving it as a constant if there's a specific response area for it) in the subsequent response area.