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Question

The solution of the following by using suitable identities:
109×108 is ------

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Solution

The given product 109×108 can be rewritten as (100+9)×(100+8) and we solve it as follows:
(100+9)(100+8)=100(100+8)+9(100+8)=(100×100)+(100×8)+(9×100)+(9×8)=10000+800+900+72=11772
Hence, 109×108=11772.

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