To check if these two expressions are equivalent, we can simplify each of them and compare the results.
For the first expression, 8(4x-2), we distribute the 8 to both terms inside the parentheses:
8 * 4x = 32x
8 * -2 = -16
Putting it all together, the first expression becomes:
32x - 16
For the second expression, 32 + 16, we simply add the two numbers together:
32 + 16 = 48
So the two expressions are not equivalent:
8(4x-2) is equivalent to 32x - 16, not 48.
8 (4x-2) and 32 +16 is equivalent
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