Question

1. $(4x^2 - 5) - (-2x^2 + 2x - 4)$

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial, we distribute the negative sign to each term inside the parentheses: \((4x^2 - 5) + 2x^2 - 2x + 4\)

Step2: Combine like terms

Combine the \(x^2\) terms: \(4x^2 + 2x^2 = 6x^2\)
Combine the constant terms: \(-5 + 4 = -1\)
The \(x\) term remains as \(-2x\)
So the simplified form is \(6x^2 - 2x - 1\)

Answer:

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