Given that a + B = 32, ab = 1, the result of (A-2) (b-2) is () A. 1B. 2C. -1D. -2

Given that a + B = 32, ab = 1, the result of (A-2) (b-2) is () A. 1B. 2C. -1D. -2

∵ (A-2) (b-2) = ab-2a-2b + 4 = ab-2 (a + b) + 4, and ∵ a + B = 32, ab = 1, the original formula = 1-2 × 32 + 4 = 2