Question

which expression is equivalent to (-4n² + 3)-(-n² + 5n - 2)? -3n² - 5n + 5 -3n² + 5n - 1 3n² + 5n + 5 3n² - 5n + 5

Explanation:

Step1: Remove parentheses

When we have \((-4n^{2}+3)-(-n^{2}+5n - 2)\), we distribute the negative sign in the second - parenthesis. The negative of \(-n^{2}+5n - 2\) is \(n^{2}-5n + 2\). So the expression becomes \(-4n^{2}+3 + n^{2}-5n + 2\).

Step2: Combine like - terms

Combine the \(n^{2}\) terms: \(-4n^{2}+n^{2}=-3n^{2}\). Combine the constant terms: \(3 + 2 = 5\). The \(n\) - term remains \(-5n\). So the simplified expression is \(-3n^{2}-5n + 5\).

Answer:

\(-3n^{2}-5n + 5\)