Calculate the value of this expression. $$ [1-(7-2)]^{2}-4^{2} $$

Question

UpStudy AI · Accepted Answer

We start with the expression:

$$
[1-(7-2)]^{2}-4^{2}
$$

**Step 1: Simplify inside the parentheses**

Inside the brackets, first calculate:

$$
7 - 2 = 5
$$

So the expression becomes:

$$
[1 - 5]^{2} - 4^{2}
$$

**Step 2: Evaluate the bracket**

Now, compute:

$$
1 - 5 = -4
$$

The expression is now:

$$
(-4)^{2} - 4^{2}
$$

**Step 3: Calculate the squares**

Compute each square:

$$
(-4)^2 = 16
$$
$$
4^2 = 16
$$

**Step 4: Subtract the squares**

Subtract the two results:

$$
16 - 16 = 0
$$

Thus, the value of the expression is:

$$
0
$$
The value of the expression is 0.

Calculate the value of this expression. \[ [1-(7-2)]^{2}-4^{2} \]