are the following expressions equivalent?
8(4x+2) and 32+16
yes
no
No.
No, the expressions "8(4x+2)" and "32+16" are not equivalent.
To determine if two expressions are equivalent, we need to simplify them and see if they result in the same value.
Let's start with the first expression, "8(4x+2)":
Step 1: Distribute the 8 to every term inside the parentheses:
8 * 4x + 8 * 2 = 32x + 16
Now let's simplify the second expression, "32+16":
Step 1: Perform the addition operation:
32 + 16 = 48
From the simplification process, we can see that the first expression simplifies to "32x + 16" while the second expression simplifies to "48". Since these two simplified expressions are not equal, we can conclude that the original expressions "8(4x+2)" and "32+16" are not equivalent.