Simplification Test 2

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Question : 29 of 40

Marks: +1, -0

{ (1+1/{1+1/100})(1+1/{1+1/100})-(1-1/{1+1/100}) (1-1/{1+1/100})}/{(1+1/{1+1/100})+(1-1/{1+1/100})}

is simplified to:

$101/ 200$
101
200
$200/101$

Solution:

Here,

{a^2-b^2}/{a+b}

={(a+b)(a-b)}/(a+b)

=(a-b)

Now,

a - b

= (1+1/{1+1/100})-(1-1/{1+1/100})

=1/{101/100}+1/{101/100}

=100/101+100/101

=200/101

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