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Simplify [tex][tex]$8 \cdot (9 + 2) - 6 \div 2$[/tex][/tex].

A. 41
B. 85
C. 64
D. 20


Sagot :

To simplify the expression [tex]\(8 \cdot (9 + 2) - 6 \div 2\)[/tex], follow these steps:

1. Evaluate the expression inside the parentheses:
[tex]\[ 9 + 2 = 11 \][/tex]

2. Multiply the result by 8:
[tex]\[ 8 \cdot 11 = 88 \][/tex]

3. Divide 6 by 2:
[tex]\[ 6 \div 2 = 3 \][/tex]

4. Subtract the result of the division from the result of the multiplication:
[tex]\[ 88 - 3 = 85 \][/tex]

Hence, the simplified value of the expression [tex]\(8 \cdot (9 + 2) - 6 \div 2\)[/tex] is:
[tex]\[ \boxed{85} \][/tex]