Let's solve the problem step-by-step to find the value of the expression [tex]\((1+4)+(1+5)+(6+4)\)[/tex].
1. First, calculate each individual sum inside the parentheses:
- [tex]\(1 + 4 = 5\)[/tex]
- [tex]\(1 + 5 = 6\)[/tex]
- [tex]\(6 + 4 = 10\)[/tex]
2. Next, combine these results:
- Add the first sum: [tex]\(5\)[/tex]
- Add the second sum: [tex]\(5 + 6 = 11\)[/tex]
- Add the third sum: [tex]\(11 + 10 = 21\)[/tex]
So, the final result of the expression [tex]\((1+4)+(1+5)+(6+4)\)[/tex] is:
[tex]\[
\boxed{21}
\][/tex]
