What is the value of the expression 9² - 3²?

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Multiple Choice

What is the value of the expression 9² - 3²?

To find the value of the expression \(9^2 - 3^2\), you can apply the concept of the difference of squares, which states that \(a^2 - b^2 = (a - b)(a + b)\). Here, \(a = 9\) and \(b = 3\). First, calculate both squares: - \(9^2 = 81\) - \(3^2 = 9\) Now, substitute these values into the expression: \[ 9^2 - 3^2 = 81 - 9 \] Perform the subtraction: \[ 81 - 9 = 72 \] Thus, the overall value of the expression is 72. The answer is obtained by correctly applying the properties of squares and executing basic arithmetic operations.

To find the value of the expression (9^2 - 3^2), you can apply the concept of the difference of squares, which states that (a^2 - b^2 = (a - b)(a + b)). Here, (a = 9) and (b = 3).

First, calculate both squares:

  • (9^2 = 81)

  • (3^2 = 9)

Now, substitute these values into the expression:

[

9^2 - 3^2 = 81 - 9

]

Perform the subtraction:

[

81 - 9 = 72

]

Thus, the overall value of the expression is 72. The answer is obtained by correctly applying the properties of squares and executing basic arithmetic operations.

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