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Question

Using an identity, evaluate 166×94.

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Solution

To evaluate 166× 94:

Let's find the average of 166 and 94, which is given by
=166+942=130 (0.5 marks)

Hence, 166× 94 can be written as
(130+36)(13036). (0.5 marks)

By applying the identity (a+b)(ab)=a2b2,

166×94=(130+36)(13036)
=1302362=169001296=15604
(1 mark)


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