Simplify the following expression:8(10x - 5)Select one:80x - 40highlight_off75xhighlight_off40xhighlight_off80x - 5highlight_off

1. Break Down the Problem

We need to simplify the expression $8(10x - 5)$.

2. Relevant Concepts

To simplify, we will use the distributive property, which states that $a(b + c) = ab + ac$.

3. Analysis and Detail

Applying the distributive property:

• Multiply 8 by the first term inside the parentheses: $8 \cdot 10x = 80x$
• Multiply 8 by the second term inside the parentheses: $8 \cdot (-5) = -40$

Combining these results gives: $80x - 40$

4. Verify and Summarize

• The expression $8(10x - 5)$ simplified correctly results in $80x - 40$.
• There are no other possible simplifications or errors in calculations.

Final Answer

Thus, the simplified expression is $80x - 40$.