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Question

Using a suitable algebraic identity, find 41×43.
  1. 1763

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Solution

The correct option is A 1763
We know that,
41×43 can be written as (40+1)×(40+3)
So, using the algebraic identity, (x+a)×(x+b)=x2+(a+b)x+ab

Here, x=40,a=1,b=3
(40+1)×(40+3)=402+(1+3)×40+1×3
=1600+160+3
=1763

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