Evaluate the following products without multiplying directly:
95 × 96

95 × 96
95 × 94 = (90 + 5) × (90 + 6)
= (90)² + (5 + 6)(90) + (5)(6)
| Using Identity IV
= 8100 + 990 + 30 = 9120.
Aliter

95 × 96 = (100 - 5) × (100 - 4)
= {100 + (- 5)} (100 + (- 4)}
= (100)² + {(- 5) + (- 4)}(100)
+ (- 5)(- 4) | Using Identity IV
= 10000 - 900 + 20
= 9120.