Question

(7f + 9) - (6f + 4)

Explanation:

Step1: Remove the parentheses

To subtract the two polynomials, we first remove the parentheses. When we have a minus sign in front of a parentheses, we distribute the negative sign to each term inside the parentheses. So, \((7f + 9)-(6f + 4)=7f + 9-6f - 4\).

Step2: Combine like terms

Next, we combine the like terms. The like terms for the \(f\)-terms are \(7f\) and \(-6f\), and the constant terms are \(9\) and \(-4\).
For the \(f\)-terms: \(7f-6f=(7 - 6)f=f\)
For the constant terms: \(9-4 = 5\)

Combining these results, we get \(f + 5\).

Answer:

\(f + 5\)