Question

Question was provided via image upload.

Explanation:

Identify the likely expression

The options are:

1. \(18x^2 - 45x\)
2. \(-18x^2 - 45x\)
3. \(-18x - 45x\)
4. \(18x - 45x\)

These options represent the expanded form of a polynomial multiplication. The most direct expression that yields \(-18x^2 - 45x\) is:

$$ -9x(2x + 5) = -18x^2 - 45x $$

Expand the expression

$$ -9x \cdot 2x + (-9x) \cdot 5 = -18x^2 - 45x $$

Answer:

• (A) \(18x^2-45x\)
• (B) \(-18x^2-45x\) (Correct answer)
• (C) \(-18x-45x\)
• (D) \(18x-45x\)