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Question
Evaluate the following products without multiplying directly: 103 × 107
Evaluate the following products without multiplying directly: 103 × 107
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Solution
103 ✕ 107 = (100 + 3)(100 + 7)
Using identity, (x + a) (x + b) = x2 + (a+b)x + ab
= (100)2 + (3 + 7)100 + (3)(7)
= 10000 + (10)(100) + 21
= 10000 + 1000 + 21
= 11021
103 ✕ 107 = (100 + 3)(100 + 7)
Using identity, (x + a) (x + b) = x2 + (a+b)x + ab
= (100)2 + (3 + 7)100 + (3)(7)
= 10000 + (10)(100) + 21
= 10000 + 1000 + 21
= 11021
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