Explanation

These coding questions are solved by finding an operation on the bracketed digits that reproduces both given results. Testing the pattern a × (c² − b²): for 2[3]4 we get 2 × (16 − 9) = 2 × 7 = 14, which matches. For 3[4]6 we get 3 × (36 − 16) = 3 × 20 = 60, which also matches, confirming the rule. Applying it to 4[5]7: 4 × (49 − 25) = 4 × 24 = 96. Neither a simple sum nor a plain product of the three digits can reproduce 14 and 60 simultaneously, which is why the square-difference form is the intended key. Hence 4[5]7 = 96, option C.