To simplify the expression [tex]\( 25(6) - 8 \)[/tex], let's follow the order of operations, which in mathematics is typically referred to as PEMDAS/BODMAS — Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
1. Multiplication:
First, we need to perform the multiplication inside the parentheses:
[tex]\[
25 \times 6
\][/tex]
2. Calculation of Multiplication:
Carry out the multiplication step:
[tex]\[
25 \times 6 = 150
\][/tex]
3. Subtraction:
Now subtract 8 from the result of the multiplication:
[tex]\[
150 - 8
\][/tex]
4. Calculation of Subtraction:
Perform the subtraction:
[tex]\[
150 - 8 = 142
\][/tex]
Thus, the simplified expression is [tex]\( 142 \)[/tex]. The correct answer from the given choices is [tex]\( 142 \)[/tex].