What is \( 5^2 - 3^2 \)?

What is \( 5^2 - 3^2 \)?

• A. 16
• B. 14
• C. 10
• D. 8

Answer: (A)

To find the value of \( 5^2 - 3^2 \), start by calculating the squares of 5 and 3. The square of 5 is \( 5^2 = 25 \) and the square of 3 is \( 3^2 = 9 \). Now, subtract the square of 3 from the square of 5: \[ 5^2 - 3^2 = 25 - 9 \] This simplifies to: \[ 25 - 9 = 16 \] Therefore, the result of \( 5^2 - 3^2 \) is 16. This matches the first option, confirming it as the correct answer. This calculation demonstrates the application of basic arithmetic and exponentiation, providing a straightforward solution to the expression given. The use of squared terms emphasizes the concept of difference of squares differently, but the direct approach confirms the accuracy of the arithmetic performed.

To find the value of ( 5^2 - 3^2 ), start by calculating the squares of 5 and 3. The square of 5 is ( 5^2 = 25 ) and the square of 3 is ( 3^2 = 9 ).

Now, subtract the square of 3 from the square of 5:

[

5^2 - 3^2 = 25 - 9

]

This simplifies to:

[

25 - 9 = 16

]

Therefore, the result of ( 5^2 - 3^2 ) is 16. This matches the first option, confirming it as the correct answer. This calculation demonstrates the application of basic arithmetic and exponentiation, providing a straightforward solution to the expression given. The use of squared terms emphasizes the concept of difference of squares differently, but the direct approach confirms the accuracy of the arithmetic performed.