If x = 2^1/3 + 2^2/3, then the value of x^3 − 6x = ??

Question

anonymous · Answer

Can you find x^3 by using:

$$(a + b)^3 = a^3 + b^3 + 3ab(a + b)$$

anonymous · Answer

Okie dokie! 
$$If x= 2^{1/3} + 2^{2/3} , then,  x^3 - 6x = ?$$

anonymous · Answer

@Syderitic - How did you get that ?? :/

anonymous · Answer

Use the above formula and calculate:
$$(2^{1/3} + 2^{2/3})^3$$

anonymous · Answer

go for waterineyes solution ;)

anonymous · Answer

Haha.. M just doing so! :D

anonymous · Answer

Just take your time...

anonymous · Answer

@waterineyes - I juts got lost while solving :(

anonymous · Answer

Did you get this:

$$4 + 2 + 6 \times 2^{1/3} + 6 \times 2^{2/3}$$

aravindg · Answer

kya me late ho?

anonymous · Answer

Haan aap late hain...

aravindg · Answer

:)

aravindg · Answer

all izz well

anonymous · Answer

@AravindG  : G nahi .. aap bohot zyada late bhi nahi hain! :)

aravindg · Answer

:)

shubhamsrg · Answer

you want the ans only ?

anonymous · Answer

Answere milna na milna is not the question , 
I just need the idea of how to proceed into solving the problem!!

if you do, Please let me know!
Thank You! :)

shubhamsrg · Answer

whole cube kardo both sides,,kya pareshani hai ? 
baad me 3ab(a+b) wala term cancel ho jayega kyunki 6x subtract ho raha hai usme..try it..

anonymous · Answer

k .. try karti hoon ..

anonymous · Answer

Ah! Yuppiie.. got it !! :P ..Thanx!

shubhamsrg · Answer

glad to help ^_^
(altough @waterineyes did all the helping :D )

lgbasallote · Answer

good work here @waterineyes ^_^

anonymous · Answer

Thanks guys for appreciating my work..
But problem could not be solved without all our efforts...

@Aditi_Singh Ji, aap agar concentrate karein maths pe to aur bhi success pa sakti hain..

shubhamsrg · Answer

lol.. aisa nahi hai @waterineyes kuch der chat ki thi maine aditi madam se..itni bhi buri nahi hai.. ;)
10th results me kamal kiya tha inhone i know :D

anonymous · Answer

Maine kaha aur success pa sakti hain aur success kabhi limited nahin hoti hai..
And Agar aditi ji ne kamaal kiya hai to I appreciate and congratulate her for this par Itni bhi buri??
Buri kis sense me??
Dekhne me??
Maths me??
Yaa baatein karne me??

Ha ha ha ha...

shubhamsrg · Answer

aap to serious ho gaye:P
looks i dont know..
maths pe bhi nahi comment karunga :P
baton me witty hai..hmm..
ha ha ha ??

shubhamsrg · Answer

:P

anonymous · Answer

Witty bole to???

shubhamsrg · Answer

witty ka matlab bole to google pe search marne ka!! :P

anonymous · Answer

Ab is cheez ke liye main google kholu..
Tere ko pata hai to tu hi bta de..