Question

subtract. (5u + 7) - (2u + 1)

Explanation:

Step1: Remove parentheses

To subtract the two polynomials, we first remove the parentheses. When we remove the parentheses from the second term, we have to distribute the negative sign to both terms inside the parentheses. So, \((5u + 7) - (2u + 1)\) becomes \(5u + 7 - 2u - 1\).

Step2: Combine like terms

Next, we combine the like terms. The like terms for the \(u\)-terms are \(5u\) and \(-2u\), and the like terms for the constant terms are \(7\) and \(-1\). Combining the \(u\)-terms: \(5u - 2u = 3u\). Combining the constant terms: \(7 - 1 = 6\). So, putting it together, we get \(3u + 6\).

Answer:

\(3u + 6\)