Question

evaluate (502)² - (498)²

Answer 1

252004 -248004
4000 is answer

Answer 2

Hey friend,

Here's your answer,


The question is :

Evaluate :

(502)² - (498)²

It can be expanded and the resultant would be :


(500+2)²-(500-2)²

Using,
(a+b)²=a²+b²+2ab
a = 500
b = 2
And using,
(a-b)²=a²+b²-2ab
a=500
b=2

We get,

=>(500²+2²+2×500×2)-
(498²+2²-2×500×2)
(500²+2²+2000)-(500+2²-2000)
= 500²+2²+2000-500²-2²+2000
= 500²-500²+2²-2²+2000+2000
= 4000



Hope this helps!!!