Certainly! Let's solve the expression step by step:
The given expression is:
[tex]\[ 17 \sqrt{b} - 9 \sqrt{b} - \sqrt{b} - 6 \sqrt{b} \][/tex]
1. First, identify the like terms in the expression. In this case, all the terms involve [tex]\(\sqrt{b}\)[/tex].
2. Combine the coefficients of [tex]\(\sqrt{b}\)[/tex]:
[tex]\[
(17 - 9 - 1 - 6) \sqrt{b}
\][/tex]
3. Calculate the combined coefficient:
[tex]\[
17 - 9 = 8
\][/tex]
[tex]\[
8 - 1 = 7
\][/tex]
[tex]\[
7 - 6 = 1
\][/tex]
4. Since the combined coefficient is 1, the expression simplifies to:
[tex]\[
1 \sqrt{b} = \sqrt{b}
\][/tex]
So, the simplified form of the expression is:
[tex]\[ \sqrt{b} \][/tex]
