Question
Find 52 × 48 without doing full multiplication
directly.Solution
Note that 52 = 50 + 2, 48 = 50 − 2 Use (a + b)(a − b) = a² − b² So 52 × 48 = (50 + 2)(50 − 2) = 50² − 2² = 2500 − 4 = 2496
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