8 (4x-2) and 32 +16 is equivalent
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.
To determine if the expression 8(4x-2) is equivalent to 32+16, we need to simplify both sides and compare the results.
Let's start with the left side of the equation:
8(4x-2)
To simplify this expression, we can use the distributive property of multiplication over addition/subtraction. Multiply 8 by each term inside the parentheses:
8 * 4x = 32x
8 * -2 = -16
So the left side simplifies to:
32x - 16
Now let's simplify the right side of the equation:
32 + 16
Adding 32 and 16 gives us:
48
Comparing the simplified expressions on both sides, we have:
32x - 16 = 48
Therefore, 8(4x-2) is not equivalent to 32 + 16.
To determine if the expressions 8(4x-2) and 32 + 16 are equivalent, we need to simplify both expressions and compare the results.
Let's start with 8(4x-2):
1. Distribute the 8 to both terms within the parentheses:
8 * 4x = 32x
8 * (-2) = -16
So, 8(4x-2) simplifies to 32x - 16.
Now let's simplify 32 + 16:
32 + 16 = 48
Now we can compare both simplified expressions:
32x - 16 and 48.
Since these expressions are not equal, 8(4x-2) is not equivalent to 32 + 16.