Which of the following is the output of 495 * 495 - 105 * 105?

Step-by-Step Solution

To calculate the output of 495 * 495 - 105 * 105 efficiently, we can use the algebraic identity for the difference of squares: a^2 - b^2 = (a - b)(a + b)

Identify the variables:

• Let a = 495

• Let b = 105

• Apply the identity:

  • 495^2 - 105^2 = (495 - 105)(495 + 105)

• Perform the arithmetic:

  • (495 - 105) = 390

  • (495 + 105) = 600

  • Multiply the results: 390 * 600

• Final Calculation:

  • 390 * 600 = 234000