Question

Simplify the following

Answer 1

\[\huge (\frac{ a+1 }{ a^{2/3} - a^{1/3} +1 }- \frac{ a-1 }{ a-a^{1/2} })^{10}\]

Answer 2

just the inner thingy how to simplify it is so ugly

Answer 3

please use the subsequent identity, in order to decompose the numerator of first term:
\[(x ^{3}+1)=(x ^{2}-x+1)\]

Answer 4

a = a^{1/3}^3

Answer 5

cool

Answer 6

oop.... sorry:
\[x ^{3}+1=(x+1)(x ^{2}-x+1)\]

Answer 7

\[a - 1 = (\sqrt a + 1)(\sqrt a - 1)\]And the denominator is \(\sqrt a (\sqrt a - 1)\).

Answer 8

yeah thanks

Answer 9

\[x=a ^{1/3}\]

Answer 10

Thanks! @No.name @ParthKohli

Answer 11

\[\huge (a^{1/3} - a^{-1/2} ) \]