An algebra problem by Ajala Singh

Algebra Level 1

What is

2014 × 20132013 − 2013 × 20142014 ? 2014 \times 20132013 - 2013 \times 20142014?

1 0 2013 2014

Ajala Singh by Ajala Singh , 21, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Milind Prabhu
Aug 26, 2014

2014 × 20132013 − 2013 × 20142014 = 2014 × 2013 × 1001 − 2013 × 2014 × 1001 = 0 \quad 2014\times 20132013-2013\times 20142014\\ =2014\times 2013\times 1001-2013\times 2014\times 1001\\ = \boxed { 0 }

3 Helpful 0 Interesting 0 Brilliant 0 Confused

It should be "10001", not "1001". But well, that is a much easier solution :)

Jaydee Lucero - 6 years, 9 months ago
Shanthanu Rai
Feb 21, 2016

2014 ∗ 20132013 − 2013 ∗ 20142014 = ( 2013 + 1 ) ∗ 20132013 − 2013 ∗ ( 20132013 + 10001 ) = 2013 ∗ 20132013 + 20132013 − 2013 ∗ 20132013 − 2013 ∗ 10001 = 20132013 − 2013 ∗ 10001 = 0 2014*20132013-2013*20142014\\=(2013+1)*20132013-2013*(20132013+10001)\\=2013*20132013+20132013-2013*20132013-2013*10001\\=20132013-2013*10001\\=0

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...