It is easy

Algebra Level 1

201220132014^2 - (201220132013)(201220132015)

2 solutions

Ryan Joseph
Dec 1, 2014

if you let x=20120132014, then this expression yields $x^{2}-(x-1)(x+1)=1$

Jack Rawlin
Dec 22, 2014

If we have

$x = 201,220,132,014$

$(x-1) = 201,220,132,013$

$(x+1) = 201,220,132,015$

Since

$(x-1)(x+1) = x^2 - 1$

We can conclude that

$x^2 - (x - 1)(x + 1) = x^2 - (x^ 2 - 1)$

This simplifies down to

$x^2 - x^2 + 1 = 1$

So the answer to the question is $1$

An incorrect use of $Latex$

sir, x=201220132014..not 210,220,132,014

please correct this as it would enhance your solution

thanks!

Yoogottam Khandelwal - 5 years, 11 months ago