Question

find the difference.\\((-2x^2 + 3x) - (x^2 - x - 4)\\)\\(?x^2 + \square x + \square\\)

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial from the first, we distribute the negative sign to each term in the second polynomial:
\((-2x^2 + 3x) - x^2 + x + 4\)

Step2: Combine like terms for \(x^2\) terms

Combine the \(x^2\) terms: \(-2x^2 - x^2 = -3x^2\)

Step3: Combine like terms for \(x\) terms

Combine the \(x\) terms: \(3x + x = 4x\)

Step4: Identify the constant term

The constant term is \(4\)

Answer:

\(-3x^2 + 4x + 4\) (So the coefficients are \(-3\) for \(x^2\), \(4\) for \(x\), and \(4\) for the constant term)