LoL problem

Algebra Level 2

${\frac{(2012)(2015)(4029) + 2019}{2013^{2}}} = \, ?$

1 solution

Ashwin K
Feb 4, 2016

Looking at the problem we get scared. Not really.

For this type of problem, write it in a general way

Let n = 2013  //mostly denominator will be the required variable.

we rewrite it as ,

$\frac{(n-1)*(n+2)*(2n+3) + (n+6)}{n^2}$

Upon simplification, we get ,

$\frac{2n^3 + 5n^2-n-6 + n + 6}{n^2}$ = 2n + 5.

Solution : $\boxed{ 2(2013) + 5 =4031}$