Question

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

Answer 1

I hope this helps you.

Answer 2

b.) $x^{- \frac{1}{2} }(x^{ \frac{3}{2} }-x^2)=x^{- \frac{1}{2} }(x^{ \frac{3}{2} })-x^{- \frac{1}{2} }(x^2)}=x^{- \frac{1}{2} + \frac{3}{2} }-x^{- \frac{1}{2} +2}=x-x^{ \frac{1}{2}$

e.) $\frac{1}{ \sqrt{x} } (x^2- \sqrt{x} )= \frac{1}{ x^{ \frac{1}{2} } } (x^2-x^ \frac{1}{2} ) \\ = x^{- \frac{1}{2} } (x^2-x^ \frac{1}{2} )=x^{- \frac{1}{2} }(x^2)-x^{- \frac{1}{2} }(x^ \frac{1}{2} )} \\ =x^{- \frac{1}{2} +2}-x^{- \frac{1}{2} + \frac{1}{2} }=x^ \frac{1}{2} -x^0=x^ \frac{1}{2} -1$