Question

subtract.
(-5r + 8) - (6r - 4)

Explanation:

Step1: Remove parentheses

To subtract the two polynomials, we first remove the parentheses. Remember that when we have a minus sign in front of a parentheses, we need to distribute the negative sign to each term inside the parentheses. So, \((-5r + 8) - (6r - 4)\) becomes \(-5r + 8 - 6r + 4\).

Step2: Combine like terms

Next, we combine the like terms. The like terms for the \(r\)-terms are \(-5r\) and \(-6r\), and the constant terms are \(8\) and \(4\). Combining the \(r\)-terms: \(-5r - 6r = -11r\). Combining the constant terms: \(8 + 4 = 12\). So, putting it together, we get \(-11r + 12\).

Answer:

\(-11r + 12\)