evaluate the following with suitable identities 96 × 97
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96 × 97
= ( 100 – 4 ) ( 100 – 3 )
{ using ( x – a ) ( x – b ) = x² – ( a + b )x + ab }
= 100² – ( 4 + 3 ) 100 + 4×3
= 10000 – 700 + 12
= 9300 + 12
= 9312
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