Simplify the following:

4(4+1)÷(3−1)

To simplify the expression we need to follow the order of operations (PEMDAS/BODMAS).

First, we simplify inside the parentheses:
4(4+1) = 4(5) = 20

Next, we solve the division:
20 ÷ (3-1) = 20 ÷ 2 = 10

Therefore, the simplified expression is 10.

To simplify the expression 4(4+1)÷(3-1), follow the order of operations (also known as PEMDAS).

1. First, simplify inside the parentheses: 4+1 = 5.

The expression then becomes: 4(5)÷(3-1).

2. Next, subtract inside the second set of parentheses: 3-1 = 2.

The expression now becomes: 4(5)÷2.

3. Multiply: 4(5) = 20.

The expression becomes: 20÷2.

4. Finally, divide: 20÷2 = 10.

Therefore, the simplified expression is 10.