205²-105²

To solve \( 205^2 - 105^2 \), we can use the difference of squares formula, which states that \( a^2 - b^2 = (a - b)(a + b) \). Here, let: - \( a = 205 \) - \( b = 105 \) Now, calculate: \[ 205 - 105 = 100 \] \[ 205 + 105 = 310 \] Now apply the difference of squares formula: \[ 205^2 - 105^2 = (205 - 105)(205 + 105) = 100 \cdot 310 \] Now multiply: \[ 100 \cdot 310 = 31000 \] So, \( 205^2 - 105^2 = 31000 \).