Are the following expressions equivalent? 8(4x-2) and 32 + 16 (1 point)
No, the two expressions are not equivalent.
To determine if the expressions 8(4x-2) and 32 + 16 are equivalent, we can simplify both expressions and compare the results.
1. Let's simplify the expression 8(4x-2) first:
Using the distributive property, we multiply 8 by each term inside the parentheses:
8 * 4x = 32x
8 * -2 = -16
Combining the terms, we have: 32x - 16
2. Let's simplify the expression 32 + 16:
Adding the two numbers: 32 + 16 = 48
Now we can compare the simplified expressions:
- The expression 8(4x-2) simplifies to 32x - 16.
- The expression 32 + 16 simplifies to 48.
Since 32x - 16 is not equal to 48, the expressions 8(4x-2) and 32 + 16 are not equivalent.
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 by simplifying each expression one by one:
Expression 1: 8(4x-2)
To simplify this expression, we will distribute the 8 to both terms inside the parentheses:
8 * 4x = 32x
8 * -2 = -16
So, the expression becomes: 32x - 16
Expression 2: 32 + 16
This expression consists of two numbers being added together, which gives a sum of 48.
So, the expression becomes: 48
Now we can compare the simplified expressions:
Expression 1: 32x - 16
Expression 2: 48
Since these expressions are not the same, we can conclude that 8(4x-2) and 32 + 16 are not equivalent.
Thus, the answer is no, the expressions are not equivalent.