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value of [(2014^2-2020) (2014^2+4028-3) (2015)] / [(2011) (2013) (2016) (2017)], ()

value of [(2014^2-2020) (2014^2+4028-3) (2015)] / [(2011) (2013) (2016) (2017)], ()

Grade:10

4 Answers

Mimi Bhattacharya
13 Points
5 years ago
2014^2+4028-3
=2014^2+4028+1-4
={2014^2+(2×2014×1)+1^2}-4
=(2014+1)^2- 2^2
=(2014+1+2)(2014+1-2)
=2017×2013
 
2011×2016
=(2014-3)(2014+2)
=2014^2-(3+2)2014-(3×2)
=2014^2-2020
 
When we'll arrange the numerator and denominator, it'll be noticed that nearly all the numerator are cancelled and we're left with only 2015.
Thus, the answer is 2015.
daksh
15 Points
3 years ago
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daksh
15 Points
3 years ago
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daksh
15 Points
3 years ago
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