Compute: 106^2 − 94^2

Concept / Approach

• Use the difference of squares: a^2 − b^2 = (a − b)(a + b).

Step-by-step calculationa = 106, b = 94a − b = 12a + b = 200(a − b)(a + b) = 12 × 200 = 2400

Quick checkBoth 106^2 and 94^2 end with 36; their difference should be a multiple of 100, consistent with 2400.

Final Answer2400