Question

subtract.
(8b + 7) - (6b + 1)

Explanation:

Step1: Remove the parentheses

To subtract the two polynomials, we first remove the parentheses. When we have a subtraction sign in front of a parentheses, we distribute the negative sign to each term inside the parentheses. So, \((8b + 7)-(6b + 1)\) becomes \(8b + 7-6b - 1\).

Step2: Combine like terms

Next, we combine the like terms. The like terms for the variable \(b\) are \(8b\) and \(-6b\), and the constant terms are \(7\) and \(-1\). Combining the \(b\) terms: \(8b-6b = 2b\). Combining the constant terms: \(7 - 1=6\). So, putting it together, we get \(2b + 6\).

Answer:

\(2b + 6\)