Question

$$2\frac{a\ t}{\sqrt{aa^{\prime}-\sqrt[3]{6}}-\frac{a+t}{a\ 4+6\frac{3}{3}}$$

Answer

$$2*a^(3/2+prime)*t-sqrt[3]6-a+4*t*a+633$$

Solution


Regroup terms.
2*a*sqrt(a)*a^prime*t-sqrt[3]6-a+t*a*4+633
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
2*a^(1+1/2+prime)*t-sqrt[3]6-a+t*a*4+633
Simplify  \(1+\frac{1}{2}+prime\)  to  \(\frac{3}{2}+prime\).
2*a^(3/2+prime)*t-sqrt[3]6-a+t*a*4+633
Regroup terms.
2*a^(3/2+prime)*t-sqrt[3]6-a+4*t*a+633