Final answer:
To verify the simplified expression 8x - 20 for 4(2x - 5), we can distribute the 4 and compare the expressions. We can also substitute a value and evaluate both expressions to check if they give the same result.
Step-by-step explanation:
To verify whether the expression 8x - 20 is the correct simplified expression for 4(2x - 5), we can distribute the 4 to both terms inside the parentheses, resulting in 8x - 20. By comparing this with the given expression, we can see that they are the same, so the simplified expression is correct.
Another way to verify the simplified expression is to substitute a value for x and evaluate both expressions to see if they give the same result. For example, if we substitute x = 2, the original expression becomes 4(2(2) - 5) = 4(4 - 5) = 4(-1) = -4. Similarly, the simplified expression becomes 8(2) - 20 = 16 - 20 = -4. Since both expressions give the same result, we can be confident that the simplified expression is correct.