Question

1. (2x + 3) - (x² + 3x) - (5x + 4)

Explanation:

Step1: Remove parentheses

Given the expression \((2x + 3) - (x^2 + 3x) - (5x + 4)\), we distribute the negative signs to remove the parentheses: \(2x + 3 - x^2 - 3x - 5x - 4\).

Step2: Combine like terms

• For the \(x^2\) term: There is only \(-x^2\).
• For the \(x\) terms: \(2x - 3x - 5x = (2 - 3 - 5)x = -6x\).
• For the constant terms: \(3 - 4 = -1\).

Combining these, we get \(-x^2 - 6x - 1\).

Answer:

\(-x^2 - 6x - 1\)