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Question

Evaluate 104x96 using identities


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Solution

Given expression can be written as

104x96=(100+4)x(1004)

We know that

(a+b)(ab)=a2b2

Here

a=100,b=4

(100+4)x(1004)=1002-42=10000-16=9984

Hence we get 9984 after simplification


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