Questions: Simplify. -5^2+(-3)^2=□

Transcript text: Simplify. \[ -5^{2}+(-3)^{2}=\square \]

Solution

Solution Steps

To simplify the expression \(-5^{2} + (-3)^{2}\), we need to evaluate each term separately. First, calculate \(-5^{2}\), which means \(-1 \times 5 \times 5\). Then, calculate \((-3)^{2}\), which is \(-3 \times -3\). Finally, add the results of these two calculations together.

Step 1: Calculate \(-5^{2}\)

We start by evaluating the first term: \[ -5^{2} = - (5 \times 5) = -25 \]

Step 2: Calculate \((-3)^{2}\)

Next, we evaluate the second term: \[ (-3)^{2} = (-3) \times (-3) = 9 \]

Step 3: Combine the Results

Now, we add the results of the two calculations: \[ -25 + 9 = -16 \]