Simply the expression 4x2 + 8 ÷ 2

The simplified expression is:

4x^2 + 8 ÷ 2 = 4x^2 + 4

Note: The proper order of operations is followed.

To simplify the expression 4x^2 + 8 ÷ 2, you need to follow the order of operations, which is also known as PEMDAS (parentheses, exponents, multiplication and division - from left to right, and addition and subtraction - from left to right).

1. Simplify the division: 8 ÷ 2 = 4

Now the expression becomes: 4x^2 + 4

2. Rearrange the terms in ascending order of variables: 4 + 4x^2

So, the simplified expression is 4 + 4x^2.

To simplify the given expression, 4x² + 8 ÷ 2, we need to follow the order of operations (also known as PEMDAS/BODMAS):

1. Start by simplifying any operations inside parentheses/brackets (none in this case).
2. Compute any exponents (if there are any) next. In our expression, 4x² has an exponent, which we can multiply out:
4x² = 4 * x * x = 4x * x = 4x²
3. Then, we move on to multiplication and division from left to right. In this case, we have 8 ÷ 2:
8 ÷ 2 = 4
4. Finally, we perform any remaining additions or subtractions from left to right. In this case, there is no addition or subtraction.

Putting it all together, the simplified expression becomes: 4x² + 4.