Sure, let's evaluate the expression [tex]\(2(3+4)^2\)[/tex] step-by-step.
1. Evaluate the expression inside the parentheses:
[tex]\[
3 + 4 = 7
\][/tex]
2. Raise the result to the power of 2:
[tex]\[
7^2 = 49
\][/tex]
3. Finally, multiply the result by 2:
[tex]\[
2 \cdot 49 = 98
\][/tex]
So, the value of the expression [tex]\(2(3+4)^2\)[/tex] is [tex]\(98\)[/tex].