Question

what is the simplest way to solve this equation?

55^3 + 25^3 - 35^3 = 155000

Answer 1

A calculator!

Answer 2

55=5*11
25=5*5
35=5*7

so take out the common factor of 3 first term 5^3

Answer 3

It is always a calculator...

Answer 4

@geedee do some reply...

Answer 5

\[\large{55^3 + 25^3 -35^3}\]
\[\large{(5*11)^3+(5*5)^3-(5*7)^3}\]
\[\large{5^3(11^3+5^3-7^3)}\]
\[\large{125(1331+125-343) = 125(1113) = 139125}\]

Answer 6

\[(5x)^3 + (5y)^3 - (5z)^3 \]\[125x^3 + 125y^3 - 125z^3 \]\[125(x^3 + y^3 - z^3) \]Does that help?

Answer 7

Always take variables from algebra when you are confused about the constants. :)

Answer 8

@ParthKohli be yourself...

Answer 9

Erm?

Answer 10

or use :
\[\large{a^3+b^3+c^3=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)+3abc}\]

\[{[(55+25-35)(55^2 +25^2 +(-35)^2-(55)(25)-(25)(-35)-(-35)(55)]+3(55)(25)(-35)}\]

Answer 11

I am talking about your pic and your first comment too where you have written :

"does that help??"

Answer 12

But that is not the simplest way @mathslover

Answer 13

I'm not perfectly sure what you are talking about... :I

Answer 14

either that is not a simple way... though I posted so that the user is satisfied with each and every step or process

Answer 15

Must say that the process I mentioned earlier is the easiest way after using calculator

Answer 16

Nevermind but Be Yourself @ParthKohli

Answer 17

The simplest way is to use a calculator :) *sigh*

Answer 18

If you are allowed to use calcualator then yes calculator is the simplest...

Answer 19

Everyone is allowed to use technology: that is what we made it for. :)

Answer 20

i think formula that mathlover used is simple and easy to remember.

Answer 21

that's nice to hear but @geedee that involves too much calculation

Answer 22

Today, my teacher gave me lecture on Technology..

And He said, technology has affected our Human Values and he is pretty correct in that..

Answer 23

He said, Graph of Technology is increasing day by day but Human values are decreasing at the same rate at which Technology is increasing...

Answer 24

@waterineyes by the way, please watch this. http://www.youtube.com/watch?v=60OVlfAUPJg

Answer 25

There is no full access in this computer lab of my college...

Answer 26

@geedee please watch that talk :)

Answer 27

Ha ha ha...

Thanks geedee..

By the way same teacher has taught you too geedee I know that...

Answer 28

And I think in your lab too full access is not there..

Answer 29

Ha ha ha...