Question

20192019×20182019-20182018×20192020​

Answer 1

$\textbf{Given:}$

$20192019{\times}20182019-20182018{\times}20192020$

$\text{Take }x=20192019\;\;\&\;\;y=20182018$

$\text{Now,}$

$20192019{\times}20182019-20182018{\times}20192020$

$=x(y+1)-y(x+1)$

$=xy+x-xy-y$

$=x-y$

$=20192019-20182018$

$\bf=10001$

Answer 2

Answer would be 10001

Step-by-step explanation:

Given expression,

20192019×20182019-20182018×20192020​

Since, the direct multiplication is quite calculative,

So, we need to simply the expression as possible,

∵ 20192020​ = 20192019 + 1

And 20182019 = 20182018 + 1

⇒ 20192019×(20182018 + 1)-20182018×(20192019 + 1)

Using distributive property,

= 20192019×20182018 + 20192019-20182018×20192019 - 20182018

= 20192019 - 20182018

= 10001

#Learn more:

Simplify the expression :

https://brainly.in/question/7625015