Evaluate using suitable identity: 1) 103 x 104
2) 96 x 104
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1. 10712
2. 9984
1.
103(104)
= (100+3) × (100+4)
By using x+a(x+b) = x²+ (a+b)x + ab
100² + (3+4)100+ 3×4
= 10000 7(100)+12
= 10000+700+12
= 10712
2.
104(96)
= (100+4) (100-4)
By using (a+b) (a-b) = a²-b²
100²-4²
= 10000 - 16
= 9984
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