Question

Can any one help me any of them especially (b)

Answer 1

I hope this helps you.

Answer 2

b.)
`x^{- (1)/(2) }(x^{ (3)/(2) }-x^2)=x^{- (1)/(2) }(x^{ (3)/(2) })-x^{- (1)/(2) }(x^2)}=x^{- (1)/(2) + (3)/(2) }-x^{- (1)/(2) +2}=x-x^{ (1)/(2)`

e.)
`(1)/( √(x) ) (x^2- √(x) )= \frac{1}{ x^{ (1)/(2) } } (x^2-x^ (1)/(2) ) \\ = x^{- (1)/(2) } (x^2-x^ (1)/(2) )=x^{- (1)/(2) }(x^2)-x^{- (1)/(2) }(x^ (1)/(2) )} \\ =x^{- (1)/(2) +2}-x^{- (1)/(2) + (1)/(2) }=x^ (1)/(2) -x^0=x^ (1)/(2) -1`