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Question

Simplify using the identities : 629×629-371×371629+371


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Solution

Step 1 : Identify the identity we can use to simplify the question

If we take a=629andb=371, the we can clearly see the form of the identity .It is of the form (a)2-(b)2 which is equal to (a+b)(a-b) in the numerator.

Step 2 : Solve the question using the identity in the numerator

629×629-371×371629+371=(629)2-(371)2629+371

=(629+371)(629-371)(629+371)

=629-371[Cancelling(629+371)fromnumeratoranddenominator]

=258

Hence the result is 258


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