A beautiful Olympaids Exponential Trick | 99% Students Don't Know This Trick.!!

A beautiful Olympaids Exponential Trick | 99% Students Don't Know This Trick.!! #maths #matholympiad #exponents

[juergenilse]

We can take out the common factor 100^3 out of the summ and get:

I see no necessity for more tricks, since that calclation is easy enough for me to do it in my head without the need of using paper or an electronic calculator.

[thibaudmerlin]

Where is the trick? I only see a laborious calculation!

[PeterChapman-rggr]

What an unnecessarily long winded way of working out something that can be done in your head in less than 10 seconds. strip out the 2 trailing zero's then it becomes 6^3 - 5^3 followed by 6 zero's. 3^3 is easy (216). 5^3 is even easier (125). mentally subtract 125 from 316 = 91 then add on the 6 trailing zero's. This is basic elementary maths for those of us who learned the basics before Calculators came into common use.

[AbbasGuclu-jnpo]

(600-500)×(600^2+
+600×500+500^2)=

×910000=

[walterwen]

A beautiful Olympiads Exponential Trick: 600³ – 500³ =?
600³ – 500³ = (6³)(100³) – (5³)(100³) = (6³ – 5³)(100³) = (6³ – 5³)(10⁶)
6³ – 5³ = (6 – 5)[(6 – 5)² + 3(6)(5)] = 91, 600³ – 500³ = 91(10⁶) =

[bvideoz]

100³(6³ - 5³) = 100³ * 91 =
= 91 * = 91, 000, 000

What was the "challange" ? 🤪

[TarunRoy-jz]

Bogus and lengthy...one line solution ..nonsense is solving ...the problem ..