To evaluate the given mathematical expression [tex]\((4 + 6) \times (5 + 2)\)[/tex], we'll follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. Step 1: Evaluate the expressions within the parentheses first.
- The first parentheses: [tex]\(4 + 6\)[/tex]
[tex]\[
4 + 6 = 10
\][/tex]
- The second parentheses: [tex]\(5 + 2\)[/tex]
[tex]\[
5 + 2 = 7
\][/tex]
2. Step 2: Multiply the results of the two sums.
- Multiply 10 and 7
[tex]\[
10 \times 7 = 70
\][/tex]
Hence, the value of the expression [tex]\((4 + 6) \times (5 + 2)\)[/tex] evaluates to:
[tex]\[
70
\][/tex]
Among the given options:
70
46
52
36
The correct answer is [tex]\(70\)[/tex].
