evaluate 95× 94 without multiplying directly
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15
Question :
➨ Evaluate 95 x 94
Solution :
95 can be written as 100 - 5
94 can be written as 100 - 6
Now
➨ ( 100 - 5 ) ( 100 - 6 )
By using identity :
➨ ( x + a ) ( x - b ) = x² + ( a + b )x + ab
- a = - 5
- b = - 6
By Substituting value in formula
➨ ( 100 )² + ( - 5 - 6 ) * 100 + ( - 5 ) * ( - 6 )
➨ 10000 + ( - 11 ) * 100 + 30
➨ 10000 - 1100 + 30
➨ 8900 + 30
➨ 8930
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