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Evaluate 95 × 96 without multiplying directly:

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9120

3120

4120

6120

answer is A.

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Detailed Solution

Given: 95 × 96
Let us now split 95 and 96:
95 × 96 = (100 - 5 ) (100 - 4)
We shall use identity here,
(x + a) (x + b) = x² + (a + b) x + ab:

95 × 96 = (100 − 5) (100 − 4)

= 1002 + [(− 5) − (4)] 100 + (− 5) (− 4)

= 10000 + (− 9) 100 + 20

= 10000 − 900 + 20

= 10020 − 900

= 9120

Hence, 95 × 96 = 9120.
Therefore, the correct option is 1.

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